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Finding the Fourth Proportional to 37,165.76, 51,288.40 and 20,398.40

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Solution

The fourth proportional to 37,165.76, 51,288.40 and 20,398.40 is: 28,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,165.76 : 51,288.40 = 20,398.40 : x
  2. Step 2: Convert to fraction form
    37,165.76/51,288.40 = 20,398.40/x
  3. Step 3: Cross multiply
    37,165.76x = 51,288.40 × 20,398.40
  4. Step 4: Simplify right side
    37,165.76x = 1,046,201,298.56
  5. Step 5: Solve for x
    x = 1,046,201,298.56/37,165.76
  6. Step 6: Final answer
    x = 28,149.60

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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.