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Finding the Fourth Proportional to 28,512.64, 42,764.90 and 9,792.37

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Solution

The fourth proportional to 28,512.64, 42,764.90 and 9,792.37 is: 14,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,512.64 : 42,764.90 = 9,792.37 : x
  2. Step 2: Convert to fraction form
    28,512.64/42,764.90 = 9,792.37/x
  3. Step 3: Cross multiply
    28,512.64x = 42,764.90 × 9,792.37
  4. Step 4: Simplify right side
    28,512.64x = 418,769,509.99
  5. Step 5: Solve for x
    x = 418,769,509.99/28,512.64
  6. Step 6: Final answer
    x = 14,687.16

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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.