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Finding the Fourth Proportional to 28,008, 42,017.76 and 11,592

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Solution

The fourth proportional to 28,008, 42,017.76 and 11,592 is: 17,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,008 : 42,017.76 = 11,592 : x
  2. Step 2: Convert to fraction form
    28,008/42,017.76 = 11,592/x
  3. Step 3: Cross multiply
    28,008x = 42,017.76 × 11,592
  4. Step 4: Simplify right side
    28,008x = 487,069,873.92
  5. Step 5: Solve for x
    x = 487,069,873.92/28,008
  6. Step 6: Final answer
    x = 17,390.38

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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.