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Finding the Fourth Proportional to 15,126.88, 22,661.16 and 12,658

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Solution

The fourth proportional to 15,126.88, 22,661.16 and 12,658 is: 18,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,126.88 : 22,661.16 = 12,658 : x
  2. Step 2: Convert to fraction form
    15,126.88/22,661.16 = 12,658/x
  3. Step 3: Cross multiply
    15,126.88x = 22,661.16 × 12,658
  4. Step 4: Simplify right side
    15,126.88x = 286,844,963.28
  5. Step 5: Solve for x
    x = 286,844,963.28/15,126.88
  6. Step 6: Final answer
    x = 18,962.60

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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.