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Finding the Fourth Proportional to 8,908, 12,293.20 and 5,182.24

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Solution

The fourth proportional to 8,908, 12,293.20 and 5,182.24 is: 7,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,908 : 12,293.20 = 5,182.24 : x
  2. Step 2: Convert to fraction form
    8,908/12,293.20 = 5,182.24/x
  3. Step 3: Cross multiply
    8,908x = 12,293.20 × 5,182.24
  4. Step 4: Simplify right side
    8,908x = 63,706,312.77
  5. Step 5: Solve for x
    x = 63,706,312.77/8,908
  6. Step 6: Final answer
    x = 7,151.58

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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.