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Finding the Fourth Proportional to 12,987.24, 17,921.07 and 7,681.02

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Solution

The fourth proportional to 12,987.24, 17,921.07 and 7,681.02 is: 10,599.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.24 : 17,921.07 = 7,681.02 : x
  2. Step 2: Convert to fraction form
    12,987.24/17,921.07 = 7,681.02/x
  3. Step 3: Cross multiply
    12,987.24x = 17,921.07 × 7,681.02
  4. Step 4: Simplify right side
    12,987.24x = 137,652,097.09
  5. Step 5: Solve for x
    x = 137,652,097.09/12,987.24
  6. Step 6: Final answer
    x = 10,599.03

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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.