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Finding the Fourth Proportional to 9,900.40, 14,845.80 and 5,513.20

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Solution

The fourth proportional to 9,900.40, 14,845.80 and 5,513.20 is: 8,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.40 : 14,845.80 = 5,513.20 : x
  2. Step 2: Convert to fraction form
    9,900.40/14,845.80 = 5,513.20/x
  3. Step 3: Cross multiply
    9,900.40x = 14,845.80 × 5,513.20
  4. Step 4: Simplify right side
    9,900.40x = 81,847,864.56
  5. Step 5: Solve for x
    x = 81,847,864.56/9,900.40
  6. Step 6: Final answer
    x = 8,267.13

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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.