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Finding the Fourth Proportional to 30,942, 42,729.12 and 21,536.28

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Solution

The fourth proportional to 30,942, 42,729.12 and 21,536.28 is: 29,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942 : 42,729.12 = 21,536.28 : x
  2. Step 2: Convert to fraction form
    30,942/42,729.12 = 21,536.28/x
  3. Step 3: Cross multiply
    30,942x = 42,729.12 × 21,536.28
  4. Step 4: Simplify right side
    30,942x = 920,226,292.47
  5. Step 5: Solve for x
    x = 920,226,292.47/30,942
  6. Step 6: Final answer
    x = 29,740.36

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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.