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Finding the Fourth Proportional to 30,959.88, 42,730.86 and 17,531.16

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Solution

The fourth proportional to 30,959.88, 42,730.86 and 17,531.16 is: 24,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.88 : 42,730.86 = 17,531.16 : x
  2. Step 2: Convert to fraction form
    30,959.88/42,730.86 = 17,531.16/x
  3. Step 3: Cross multiply
    30,959.88x = 42,730.86 × 17,531.16
  4. Step 4: Simplify right side
    30,959.88x = 749,121,543.60
  5. Step 5: Solve for x
    x = 749,121,543.60/30,959.88
  6. Step 6: Final answer
    x = 24,196.53

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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.