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Finding the Fourth Proportional to 38,074.16, 57,116.72 and 11,781.20

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Solution

The fourth proportional to 38,074.16, 57,116.72 and 11,781.20 is: 17,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,074.16 : 57,116.72 = 11,781.20 : x
  2. Step 2: Convert to fraction form
    38,074.16/57,116.72 = 11,781.20/x
  3. Step 3: Cross multiply
    38,074.16x = 57,116.72 × 11,781.20
  4. Step 4: Simplify right side
    38,074.16x = 672,903,501.66
  5. Step 5: Solve for x
    x = 672,903,501.66/38,074.16
  6. Step 6: Final answer
    x = 17,673.50

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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.