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Finding the Fourth Proportional to 28,356.48, 42,532.56 and 11,712

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Solution

The fourth proportional to 28,356.48, 42,532.56 and 11,712 is: 17,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,356.48 : 42,532.56 = 11,712 : x
  2. Step 2: Convert to fraction form
    28,356.48/42,532.56 = 11,712/x
  3. Step 3: Cross multiply
    28,356.48x = 42,532.56 × 11,712
  4. Step 4: Simplify right side
    28,356.48x = 498,141,342.72
  5. Step 5: Solve for x
    x = 498,141,342.72/28,356.48
  6. Step 6: Final answer
    x = 17,567.11

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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.