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Finding the Fourth Proportional to 10,496.80, 15,712.80 and 9,330.40

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Solution

The fourth proportional to 10,496.80, 15,712.80 and 9,330.40 is: 13,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.80 : 15,712.80 = 9,330.40 : x
  2. Step 2: Convert to fraction form
    10,496.80/15,712.80 = 9,330.40/x
  3. Step 3: Cross multiply
    10,496.80x = 15,712.80 × 9,330.40
  4. Step 4: Simplify right side
    10,496.80x = 146,606,709.12
  5. Step 5: Solve for x
    x = 146,606,709.12/10,496.80
  6. Step 6: Final answer
    x = 13,966.80

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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.