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Finding the Fourth Proportional to 10,603.24, 15,915.24 and 8,859.46

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Solution

The fourth proportional to 10,603.24, 15,915.24 and 8,859.46 is: 13,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.24 : 15,915.24 = 8,859.46 : x
  2. Step 2: Convert to fraction form
    10,603.24/15,915.24 = 8,859.46/x
  3. Step 3: Cross multiply
    10,603.24x = 15,915.24 × 8,859.46
  4. Step 4: Simplify right side
    10,603.24x = 141,000,432.17
  5. Step 5: Solve for x
    x = 141,000,432.17/10,603.24
  6. Step 6: Final answer
    x = 13,297.86

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1.5x scale

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.