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Finding the Fourth Proportional to 15,870.60, 23,814 and 6,517.80

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Solution

The fourth proportional to 15,870.60, 23,814 and 6,517.80 is: 9,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.60 : 23,814 = 6,517.80 : x
  2. Step 2: Convert to fraction form
    15,870.60/23,814 = 6,517.80/x
  3. Step 3: Cross multiply
    15,870.60x = 23,814 × 6,517.80
  4. Step 4: Simplify right side
    15,870.60x = 155,214,889.20
  5. Step 5: Solve for x
    x = 155,214,889.20/15,870.60
  6. Step 6: Final answer
    x = 9,780.03

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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.