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Finding the Fourth Proportional to 30,878.92, 42,612.78 and 16,731.82

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Solution

The fourth proportional to 30,878.92, 42,612.78 and 16,731.82 is: 23,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.92 : 42,612.78 = 16,731.82 : x
  2. Step 2: Convert to fraction form
    30,878.92/42,612.78 = 16,731.82/x
  3. Step 3: Cross multiply
    30,878.92x = 42,612.78 × 16,731.82
  4. Step 4: Simplify right side
    30,878.92x = 712,989,364.66
  5. Step 5: Solve for x
    x = 712,989,364.66/30,878.92
  6. Step 6: Final answer
    x = 23,089.84

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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.