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Finding the Fourth Proportional to 30,970.62, 42,757.18 and 20,391

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Solution

The fourth proportional to 30,970.62, 42,757.18 and 20,391 is: 28,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.62 : 42,757.18 = 20,391 : x
  2. Step 2: Convert to fraction form
    30,970.62/42,757.18 = 20,391/x
  3. Step 3: Cross multiply
    30,970.62x = 42,757.18 × 20,391
  4. Step 4: Simplify right side
    30,970.62x = 871,861,657.38
  5. Step 5: Solve for x
    x = 871,861,657.38/30,970.62
  6. Step 6: Final answer
    x = 28,151.25

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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.