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Finding the Fourth Proportional to 6,487.56, 9,722.70 and 6,414.12

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Solution

The fourth proportional to 6,487.56, 9,722.70 and 6,414.12 is: 9,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.56 : 9,722.70 = 6,414.12 : x
  2. Step 2: Convert to fraction form
    6,487.56/9,722.70 = 6,414.12/x
  3. Step 3: Cross multiply
    6,487.56x = 9,722.70 × 6,414.12
  4. Step 4: Simplify right side
    6,487.56x = 62,362,564.52
  5. Step 5: Solve for x
    x = 62,362,564.52/6,487.56
  6. Step 6: Final answer
    x = 9,612.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.