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Finding the Fourth Proportional to 31,702.34, 47,574.27 and 11,980.90

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Solution

The fourth proportional to 31,702.34, 47,574.27 and 11,980.90 is: 17,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.34 : 47,574.27 = 11,980.90 : x
  2. Step 2: Convert to fraction form
    31,702.34/47,574.27 = 11,980.90/x
  3. Step 3: Cross multiply
    31,702.34x = 47,574.27 × 11,980.90
  4. Step 4: Simplify right side
    31,702.34x = 569,982,363.31
  5. Step 5: Solve for x
    x = 569,982,363.31/31,702.34
  6. Step 6: Final answer
    x = 17,979.19

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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.