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Finding the Fourth Proportional to 38,486.40, 57,728.16 and 19,766.40

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Solution

The fourth proportional to 38,486.40, 57,728.16 and 19,766.40 is: 29,648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,486.40 : 57,728.16 = 19,766.40 : x
  2. Step 2: Convert to fraction form
    38,486.40/57,728.16 = 19,766.40/x
  3. Step 3: Cross multiply
    38,486.40x = 57,728.16 × 19,766.40
  4. Step 4: Simplify right side
    38,486.40x = 1,141,077,901.82
  5. Step 5: Solve for x
    x = 1,141,077,901.82/38,486.40
  6. Step 6: Final answer
    x = 29,648.86

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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.