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Finding the Fourth Proportional to 37,782.70, 52,141.25 and 20,788.70

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Solution

The fourth proportional to 37,782.70, 52,141.25 and 20,788.70 is: 28,689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.70 : 52,141.25 = 20,788.70 : x
  2. Step 2: Convert to fraction form
    37,782.70/52,141.25 = 20,788.70/x
  3. Step 3: Cross multiply
    37,782.70x = 52,141.25 × 20,788.70
  4. Step 4: Simplify right side
    37,782.70x = 1,083,948,595.14
  5. Step 5: Solve for x
    x = 1,083,948,595.14/37,782.70
  6. Step 6: Final answer
    x = 28,689.02

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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.