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Finding the Fourth Proportional to 22,864.40, 34,280.40 and 10,390.40

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Solution

The fourth proportional to 22,864.40, 34,280.40 and 10,390.40 is: 15,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.40 : 34,280.40 = 10,390.40 : x
  2. Step 2: Convert to fraction form
    22,864.40/34,280.40 = 10,390.40/x
  3. Step 3: Cross multiply
    22,864.40x = 34,280.40 × 10,390.40
  4. Step 4: Simplify right side
    22,864.40x = 356,187,068.16
  5. Step 5: Solve for x
    x = 356,187,068.16/22,864.40
  6. Step 6: Final answer
    x = 15,578.24

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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.