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Finding the Fourth Proportional to 30,877.74, 42,612.04 and 18,947.64

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Solution

The fourth proportional to 30,877.74, 42,612.04 and 18,947.64 is: 26,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.74 : 42,612.04 = 18,947.64 : x
  2. Step 2: Convert to fraction form
    30,877.74/42,612.04 = 18,947.64/x
  3. Step 3: Cross multiply
    30,877.74x = 42,612.04 × 18,947.64
  4. Step 4: Simplify right side
    30,877.74x = 807,397,593.59
  5. Step 5: Solve for x
    x = 807,397,593.59/30,877.74
  6. Step 6: Final answer
    x = 26,148.21

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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.