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Finding the Fourth Proportional to 10,530.79, 15,719.11 and 9,285.28

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Solution

The fourth proportional to 10,530.79, 15,719.11 and 9,285.28 is: 13,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.79 : 15,719.11 = 9,285.28 : x
  2. Step 2: Convert to fraction form
    10,530.79/15,719.11 = 9,285.28/x
  3. Step 3: Cross multiply
    10,530.79x = 15,719.11 × 9,285.28
  4. Step 4: Simplify right side
    10,530.79x = 145,956,337.70
  5. Step 5: Solve for x
    x = 145,956,337.70/10,530.79
  6. Step 6: Final answer
    x = 13,859.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.