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Finding the Fourth Proportional to 37,887.50, 52,284.75 and 21,120.50

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Solution

The fourth proportional to 37,887.50, 52,284.75 and 21,120.50 is: 29,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,887.50 : 52,284.75 = 21,120.50 : x
  2. Step 2: Convert to fraction form
    37,887.50/52,284.75 = 21,120.50/x
  3. Step 3: Cross multiply
    37,887.50x = 52,284.75 × 21,120.50
  4. Step 4: Simplify right side
    37,887.50x = 1,104,280,062.38
  5. Step 5: Solve for x
    x = 1,104,280,062.38/37,887.50
  6. Step 6: Final answer
    x = 29,146.29

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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.