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Finding the Fourth Proportional to 6,457.14, 8,895.69 and 5,271.30

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Solution

The fourth proportional to 6,457.14, 8,895.69 and 5,271.30 is: 7,262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.14 : 8,895.69 = 5,271.30 : x
  2. Step 2: Convert to fraction form
    6,457.14/8,895.69 = 5,271.30/x
  3. Step 3: Cross multiply
    6,457.14x = 8,895.69 × 5,271.30
  4. Step 4: Simplify right side
    6,457.14x = 46,891,850.70
  5. Step 5: Solve for x
    x = 46,891,850.70/6,457.14
  6. Step 6: Final answer
    x = 7,262.02

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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.