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Finding the Fourth Proportional to 9,049, 12,487.74 and 5,323

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Solution

The fourth proportional to 9,049, 12,487.74 and 5,323 is: 7,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049 : 12,487.74 = 5,323 : x
  2. Step 2: Convert to fraction form
    9,049/12,487.74 = 5,323/x
  3. Step 3: Cross multiply
    9,049x = 12,487.74 × 5,323
  4. Step 4: Simplify right side
    9,049x = 66,472,240.02
  5. Step 5: Solve for x
    x = 66,472,240.02/9,049
  6. Step 6: Final answer
    x = 7,345.81

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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.