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Finding the Fourth Proportional to 9,144, 12,621.96 and 5,418

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Solution

The fourth proportional to 9,144, 12,621.96 and 5,418 is: 7,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144 : 12,621.96 = 5,418 : x
  2. Step 2: Convert to fraction form
    9,144/12,621.96 = 5,418/x
  3. Step 3: Cross multiply
    9,144x = 12,621.96 × 5,418
  4. Step 4: Simplify right side
    9,144x = 68,385,779.28
  5. Step 5: Solve for x
    x = 68,385,779.28/9,144
  6. Step 6: Final answer
    x = 7,478.76

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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.