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Finding the Fourth Proportional to 11,915.86, 17,868.10 and 6,987

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Solution

The fourth proportional to 11,915.86, 17,868.10 and 6,987 is: 10,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.86 : 17,868.10 = 6,987 : x
  2. Step 2: Convert to fraction form
    11,915.86/17,868.10 = 6,987/x
  3. Step 3: Cross multiply
    11,915.86x = 17,868.10 × 6,987
  4. Step 4: Simplify right side
    11,915.86x = 124,844,414.70
  5. Step 5: Solve for x
    x = 124,844,414.70/11,915.86
  6. Step 6: Final answer
    x = 10,477.16

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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.