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Finding the Fourth Proportional to 15,866.60, 23,808.10 and 6,988.20

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Solution

The fourth proportional to 15,866.60, 23,808.10 and 6,988.20 is: 10,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.60 : 23,808.10 = 6,988.20 : x
  2. Step 2: Convert to fraction form
    15,866.60/23,808.10 = 6,988.20/x
  3. Step 3: Cross multiply
    15,866.60x = 23,808.10 × 6,988.20
  4. Step 4: Simplify right side
    15,866.60x = 166,375,764.42
  5. Step 5: Solve for x
    x = 166,375,764.42/15,866.60
  6. Step 6: Final answer
    x = 10,485.91

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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.