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Finding the Fourth Proportional to 30,902.88, 42,634.80 and 20,298.24

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Solution

The fourth proportional to 30,902.88, 42,634.80 and 20,298.24 is: 28,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.88 : 42,634.80 = 20,298.24 : x
  2. Step 2: Convert to fraction form
    30,902.88/42,634.80 = 20,298.24/x
  3. Step 3: Cross multiply
    30,902.88x = 42,634.80 × 20,298.24
  4. Step 4: Simplify right side
    30,902.88x = 865,411,402.75
  5. Step 5: Solve for x
    x = 865,411,402.75/30,902.88
  6. Step 6: Final answer
    x = 28,004.23

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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.