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Finding the Fourth Proportional to 23,758, 32,785.62 and 13,686.40

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Solution

The fourth proportional to 23,758, 32,785.62 and 13,686.40 is: 18,886.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758 : 32,785.62 = 13,686.40 : x
  2. Step 2: Convert to fraction form
    23,758/32,785.62 = 13,686.40/x
  3. Step 3: Cross multiply
    23,758x = 32,785.62 × 13,686.40
  4. Step 4: Simplify right side
    23,758x = 448,717,109.57
  5. Step 5: Solve for x
    x = 448,717,109.57/23,758
  6. Step 6: Final answer
    x = 18,886.99

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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.