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Finding the Fourth Proportional to 15,558, 23,325.48 and 8,162.16

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Solution

The fourth proportional to 15,558, 23,325.48 and 8,162.16 is: 12,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,558 : 23,325.48 = 8,162.16 : x
  2. Step 2: Convert to fraction form
    15,558/23,325.48 = 8,162.16/x
  3. Step 3: Cross multiply
    15,558x = 23,325.48 × 8,162.16
  4. Step 4: Simplify right side
    15,558x = 190,386,299.84
  5. Step 5: Solve for x
    x = 190,386,299.84/15,558
  6. Step 6: Final answer
    x = 12,237.20

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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.