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Finding the Fourth Proportional to 37,617.68, 51,905.16 and 21,702.80

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Solution

The fourth proportional to 37,617.68, 51,905.16 and 21,702.80 is: 29,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,617.68 : 51,905.16 = 21,702.80 : x
  2. Step 2: Convert to fraction form
    37,617.68/51,905.16 = 21,702.80/x
  3. Step 3: Cross multiply
    37,617.68x = 51,905.16 × 21,702.80
  4. Step 4: Simplify right side
    37,617.68x = 1,126,487,306.45
  5. Step 5: Solve for x
    x = 1,126,487,306.45/37,617.68
  6. Step 6: Final answer
    x = 29,945.69

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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.