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Finding the Fourth Proportional to 8,874, 12,247.74 and 5,148

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Solution

The fourth proportional to 8,874, 12,247.74 and 5,148 is: 7,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874 : 12,247.74 = 5,148 : x
  2. Step 2: Convert to fraction form
    8,874/12,247.74 = 5,148/x
  3. Step 3: Cross multiply
    8,874x = 12,247.74 × 5,148
  4. Step 4: Simplify right side
    8,874x = 63,051,365.52
  5. Step 5: Solve for x
    x = 63,051,365.52/8,874
  6. Step 6: Final answer
    x = 7,105.18

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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.