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Finding the Fourth Proportional to 30,838.86, 42,557.94 and 16,692

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Solution

The fourth proportional to 30,838.86, 42,557.94 and 16,692 is: 23,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.86 : 42,557.94 = 16,692 : x
  2. Step 2: Convert to fraction form
    30,838.86/42,557.94 = 16,692/x
  3. Step 3: Cross multiply
    30,838.86x = 42,557.94 × 16,692
  4. Step 4: Simplify right side
    30,838.86x = 710,377,134.48
  5. Step 5: Solve for x
    x = 710,377,134.48/30,838.86
  6. Step 6: Final answer
    x = 23,035.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.