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Finding the Fourth Proportional to 9,344.24, 12,888.92 and 5,618.24

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Solution

The fourth proportional to 9,344.24, 12,888.92 and 5,618.24 is: 7,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.24 : 12,888.92 = 5,618.24 : x
  2. Step 2: Convert to fraction form
    9,344.24/12,888.92 = 5,618.24/x
  3. Step 3: Cross multiply
    9,344.24x = 12,888.92 × 5,618.24
  4. Step 4: Simplify right side
    9,344.24x = 72,413,045.90
  5. Step 5: Solve for x
    x = 72,413,045.90/9,344.24
  6. Step 6: Final answer
    x = 7,749.48

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1.5x scale

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.