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Finding the Fourth Proportional to 10,153, 15,231.74 and 4,314.60

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Solution

The fourth proportional to 10,153, 15,231.74 and 4,314.60 is: 6,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153 : 15,231.74 = 4,314.60 : x
  2. Step 2: Convert to fraction form
    10,153/15,231.74 = 4,314.60/x
  3. Step 3: Cross multiply
    10,153x = 15,231.74 × 4,314.60
  4. Step 4: Simplify right side
    10,153x = 65,718,865.40
  5. Step 5: Solve for x
    x = 65,718,865.40/10,153
  6. Step 6: Final answer
    x = 6,472.85

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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.