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Finding the Fourth Proportional to 7,154.28, 10,710.06 and 6,403.44

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Solution

The fourth proportional to 7,154.28, 10,710.06 and 6,403.44 is: 9,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.28 : 10,710.06 = 6,403.44 : x
  2. Step 2: Convert to fraction form
    7,154.28/10,710.06 = 6,403.44/x
  3. Step 3: Cross multiply
    7,154.28x = 10,710.06 × 6,403.44
  4. Step 4: Simplify right side
    7,154.28x = 68,581,226.61
  5. Step 5: Solve for x
    x = 68,581,226.61/7,154.28
  6. Step 6: Final answer
    x = 9,586.04

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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.