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Finding the Fourth Proportional to 10,230, 15,348.60 and 5,039.52

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Solution

The fourth proportional to 10,230, 15,348.60 and 5,039.52 is: 7,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230 : 15,348.60 = 5,039.52 : x
  2. Step 2: Convert to fraction form
    10,230/15,348.60 = 5,039.52/x
  3. Step 3: Cross multiply
    10,230x = 15,348.60 × 5,039.52
  4. Step 4: Simplify right side
    10,230x = 77,349,576.67
  5. Step 5: Solve for x
    x = 77,349,576.67/10,230
  6. Step 6: Final answer
    x = 7,561.05

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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.