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Finding the Fourth Proportional to 30,780, 42,476.40 and 17,532

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Solution

The fourth proportional to 30,780, 42,476.40 and 17,532 is: 24,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780 : 42,476.40 = 17,532 : x
  2. Step 2: Convert to fraction form
    30,780/42,476.40 = 17,532/x
  3. Step 3: Cross multiply
    30,780x = 42,476.40 × 17,532
  4. Step 4: Simplify right side
    30,780x = 744,696,244.80
  5. Step 5: Solve for x
    x = 744,696,244.80/30,780
  6. Step 6: Final answer
    x = 24,194.16

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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.