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Finding the Fourth Proportional to 28,509.46, 42,772.02 and 11,877.28

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Solution

The fourth proportional to 28,509.46, 42,772.02 and 11,877.28 is: 17,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509.46 : 42,772.02 = 11,877.28 : x
  2. Step 2: Convert to fraction form
    28,509.46/42,772.02 = 11,877.28/x
  3. Step 3: Cross multiply
    28,509.46x = 42,772.02 × 11,877.28
  4. Step 4: Simplify right side
    28,509.46x = 508,015,257.71
  5. Step 5: Solve for x
    x = 508,015,257.71/28,509.46
  6. Step 6: Final answer
    x = 17,819.18

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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.