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Finding the Fourth Proportional to 13,147.71, 19,718.06 and 8,987.01

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Solution

The fourth proportional to 13,147.71, 19,718.06 and 8,987.01 is: 13,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.71 : 19,718.06 = 8,987.01 : x
  2. Step 2: Convert to fraction form
    13,147.71/19,718.06 = 8,987.01/x
  3. Step 3: Cross multiply
    13,147.71x = 19,718.06 × 8,987.01
  4. Step 4: Simplify right side
    13,147.71x = 177,206,357.47
  5. Step 5: Solve for x
    x = 177,206,357.47/13,147.71
  6. Step 6: Final answer
    x = 13,478.12

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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.