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Finding the Fourth Proportional to 30,780, 42,476.40 and 22,403.52

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Solution

The fourth proportional to 30,780, 42,476.40 and 22,403.52 is: 30,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780 : 42,476.40 = 22,403.52 : x
  2. Step 2: Convert to fraction form
    30,780/42,476.40 = 22,403.52/x
  3. Step 3: Cross multiply
    30,780x = 42,476.40 × 22,403.52
  4. Step 4: Simplify right side
    30,780x = 951,620,876.93
  5. Step 5: Solve for x
    x = 951,620,876.93/30,780
  6. Step 6: Final answer
    x = 30,916.86

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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.