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Finding the Fourth Proportional to 28,253.36, 42,384 and 8,529.68

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Solution

The fourth proportional to 28,253.36, 42,384 and 8,529.68 is: 12,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,253.36 : 42,384 = 8,529.68 : x
  2. Step 2: Convert to fraction form
    28,253.36/42,384 = 8,529.68/x
  3. Step 3: Cross multiply
    28,253.36x = 42,384 × 8,529.68
  4. Step 4: Simplify right side
    28,253.36x = 361,521,957.12
  5. Step 5: Solve for x
    x = 361,521,957.12/28,253.36
  6. Step 6: Final answer
    x = 12,795.72

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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.