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Finding the Fourth Proportional to 10,915.22, 15,047.08 and 8,678

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Solution

The fourth proportional to 10,915.22, 15,047.08 and 8,678 is: 11,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.22 : 15,047.08 = 8,678 : x
  2. Step 2: Convert to fraction form
    10,915.22/15,047.08 = 8,678/x
  3. Step 3: Cross multiply
    10,915.22x = 15,047.08 × 8,678
  4. Step 4: Simplify right side
    10,915.22x = 130,578,560.24
  5. Step 5: Solve for x
    x = 130,578,560.24/10,915.22
  6. Step 6: Final answer
    x = 11,962.98

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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.