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Finding the Fourth Proportional to 30,770.58, 42,463.54 and 17,342

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Solution

The fourth proportional to 30,770.58, 42,463.54 and 17,342 is: 23,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.58 : 42,463.54 = 17,342 : x
  2. Step 2: Convert to fraction form
    30,770.58/42,463.54 = 17,342/x
  3. Step 3: Cross multiply
    30,770.58x = 42,463.54 × 17,342
  4. Step 4: Simplify right side
    30,770.58x = 736,402,710.68
  5. Step 5: Solve for x
    x = 736,402,710.68/30,770.58
  6. Step 6: Final answer
    x = 23,932.04

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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.