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Finding the Fourth Proportional to 6,457.23, 8,917.23 and 5,564.67

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Solution

The fourth proportional to 6,457.23, 8,917.23 and 5,564.67 is: 7,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.23 : 8,917.23 = 5,564.67 : x
  2. Step 2: Convert to fraction form
    6,457.23/8,917.23 = 5,564.67/x
  3. Step 3: Cross multiply
    6,457.23x = 8,917.23 × 5,564.67
  4. Step 4: Simplify right side
    6,457.23x = 49,621,442.26
  5. Step 5: Solve for x
    x = 49,621,442.26/6,457.23
  6. Step 6: Final answer
    x = 7,684.63

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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.