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Finding the Fourth Proportional to 37,687.60, 56,531.40 and 9,985.60

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Solution

The fourth proportional to 37,687.60, 56,531.40 and 9,985.60 is: 14,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,687.60 : 56,531.40 = 9,985.60 : x
  2. Step 2: Convert to fraction form
    37,687.60/56,531.40 = 9,985.60/x
  3. Step 3: Cross multiply
    37,687.60x = 56,531.40 × 9,985.60
  4. Step 4: Simplify right side
    37,687.60x = 564,499,947.84
  5. Step 5: Solve for x
    x = 564,499,947.84/37,687.60
  6. Step 6: Final answer
    x = 14,978.40

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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.