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Finding the Fourth Proportional to 8,992, 12,409.28 and 5,266.24

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Solution

The fourth proportional to 8,992, 12,409.28 and 5,266.24 is: 7,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992 : 12,409.28 = 5,266.24 : x
  2. Step 2: Convert to fraction form
    8,992/12,409.28 = 5,266.24/x
  3. Step 3: Cross multiply
    8,992x = 12,409.28 × 5,266.24
  4. Step 4: Simplify right side
    8,992x = 65,350,246.71
  5. Step 5: Solve for x
    x = 65,350,246.71/8,992
  6. Step 6: Final answer
    x = 7,267.60

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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.