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Finding the Fourth Proportional to 9,421.80, 13,002 and 5,443.28

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Solution

The fourth proportional to 9,421.80, 13,002 and 5,443.28 is: 7,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.80 : 13,002 = 5,443.28 : x
  2. Step 2: Convert to fraction form
    9,421.80/13,002 = 5,443.28/x
  3. Step 3: Cross multiply
    9,421.80x = 13,002 × 5,443.28
  4. Step 4: Simplify right side
    9,421.80x = 70,773,526.56
  5. Step 5: Solve for x
    x = 70,773,526.56/9,421.80
  6. Step 6: Final answer
    x = 7,511.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.