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Finding the Fourth Proportional to 31,702.51, 47,512.53 and 12,961.12

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Solution

The fourth proportional to 31,702.51, 47,512.53 and 12,961.12 is: 19,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.51 : 47,512.53 = 12,961.12 : x
  2. Step 2: Convert to fraction form
    31,702.51/47,512.53 = 12,961.12/x
  3. Step 3: Cross multiply
    31,702.51x = 47,512.53 × 12,961.12
  4. Step 4: Simplify right side
    31,702.51x = 615,815,602.83
  5. Step 5: Solve for x
    x = 615,815,602.83/31,702.51
  6. Step 6: Final answer
    x = 19,424.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.