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Finding the Fourth Proportional to 9,849.80, 14,750.40 and 7,371.20

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Solution

The fourth proportional to 9,849.80, 14,750.40 and 7,371.20 is: 11,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.80 : 14,750.40 = 7,371.20 : x
  2. Step 2: Convert to fraction form
    9,849.80/14,750.40 = 7,371.20/x
  3. Step 3: Cross multiply
    9,849.80x = 14,750.40 × 7,371.20
  4. Step 4: Simplify right side
    9,849.80x = 108,728,148.48
  5. Step 5: Solve for x
    x = 108,728,148.48/9,849.80
  6. Step 6: Final answer
    x = 11,038.61

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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.