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Finding the Fourth Proportional to 5,339.92, 8,012.16 and 4,909.36

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Solution

The fourth proportional to 5,339.92, 8,012.16 and 4,909.36 is: 7,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.92 : 8,012.16 = 4,909.36 : x
  2. Step 2: Convert to fraction form
    5,339.92/8,012.16 = 4,909.36/x
  3. Step 3: Cross multiply
    5,339.92x = 8,012.16 × 4,909.36
  4. Step 4: Simplify right side
    5,339.92x = 39,334,577.82
  5. Step 5: Solve for x
    x = 39,334,577.82/5,339.92
  6. Step 6: Final answer
    x = 7,366.14

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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.