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Finding the Fourth Proportional to 38,474.81, 53,117.32 and 29,328.36

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Solution

The fourth proportional to 38,474.81, 53,117.32 and 29,328.36 is: 40,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474.81 : 53,117.32 = 29,328.36 : x
  2. Step 2: Convert to fraction form
    38,474.81/53,117.32 = 29,328.36/x
  3. Step 3: Cross multiply
    38,474.81x = 53,117.32 × 29,328.36
  4. Step 4: Simplify right side
    38,474.81x = 1,557,843,883.20
  5. Step 5: Solve for x
    x = 1,557,843,883.20/38,474.81
  6. Step 6: Final answer
    x = 40,489.97

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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.