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Finding the Fourth Proportional to 6,457.56, 8,911.53 and 6,234.08

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Solution

The fourth proportional to 6,457.56, 8,911.53 and 6,234.08 is: 8,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.56 : 8,911.53 = 6,234.08 : x
  2. Step 2: Convert to fraction form
    6,457.56/8,911.53 = 6,234.08/x
  3. Step 3: Cross multiply
    6,457.56x = 8,911.53 × 6,234.08
  4. Step 4: Simplify right side
    6,457.56x = 55,555,146.38
  5. Step 5: Solve for x
    x = 55,555,146.38/6,457.56
  6. Step 6: Final answer
    x = 8,603.12

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Half scale
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Double scale
Find fourth proportional to 6,458.56, 8,912.91 and 6,235.08
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.