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Finding the Fourth Proportional to 30,721.60, 42,408.89 and 20,655.89

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Solution

The fourth proportional to 30,721.60, 42,408.89 and 20,655.89 is: 28,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,721.60 : 42,408.89 = 20,655.89 : x
  2. Step 2: Convert to fraction form
    30,721.60/42,408.89 = 20,655.89/x
  3. Step 3: Cross multiply
    30,721.60x = 42,408.89 × 20,655.89
  4. Step 4: Simplify right side
    30,721.60x = 875,993,366.86
  5. Step 5: Solve for x
    x = 875,993,366.86/30,721.60
  6. Step 6: Final answer
    x = 28,513.92

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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.