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Finding the Fourth Proportional to 30,968.88, 42,712.20 and 20,354.64

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Solution

The fourth proportional to 30,968.88, 42,712.20 and 20,354.64 is: 28,073.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.88 : 42,712.20 = 20,354.64 : x
  2. Step 2: Convert to fraction form
    30,968.88/42,712.20 = 20,354.64/x
  3. Step 3: Cross multiply
    30,968.88x = 42,712.20 × 20,354.64
  4. Step 4: Simplify right side
    30,968.88x = 869,391,454.61
  5. Step 5: Solve for x
    x = 869,391,454.61/30,968.88
  6. Step 6: Final answer
    x = 28,073.07

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1.5x scale

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.