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Finding the Fourth Proportional to 30,931.34, 42,720.03 and 20,842.11

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Solution

The fourth proportional to 30,931.34, 42,720.03 and 20,842.11 is: 28,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,931.34 : 42,720.03 = 20,842.11 : x
  2. Step 2: Convert to fraction form
    30,931.34/42,720.03 = 20,842.11/x
  3. Step 3: Cross multiply
    30,931.34x = 42,720.03 × 20,842.11
  4. Step 4: Simplify right side
    30,931.34x = 890,375,564.46
  5. Step 5: Solve for x
    x = 890,375,564.46/30,931.34
  6. Step 6: Final answer
    x = 28,785.55

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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.