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Finding the Fourth Proportional to 30,770.32, 42,463.02 and 17,344.84

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Solution

The fourth proportional to 30,770.32, 42,463.02 and 17,344.84 is: 23,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.32 : 42,463.02 = 17,344.84 : x
  2. Step 2: Convert to fraction form
    30,770.32/42,463.02 = 17,344.84/x
  3. Step 3: Cross multiply
    30,770.32x = 42,463.02 × 17,344.84
  4. Step 4: Simplify right side
    30,770.32x = 736,514,287.82
  5. Step 5: Solve for x
    x = 736,514,287.82/30,770.32
  6. Step 6: Final answer
    x = 23,935.87

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