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Finding the Fourth Proportional to 28,313.28, 42,470.02 and 8,592

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Solution

The fourth proportional to 28,313.28, 42,470.02 and 8,592 is: 12,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,313.28 : 42,470.02 = 8,592 : x
  2. Step 2: Convert to fraction form
    28,313.28/42,470.02 = 8,592/x
  3. Step 3: Cross multiply
    28,313.28x = 42,470.02 × 8,592
  4. Step 4: Simplify right side
    28,313.28x = 364,902,411.84
  5. Step 5: Solve for x
    x = 364,902,411.84/28,313.28
  6. Step 6: Final answer
    x = 12,888.03

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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.