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Finding the Fourth Proportional to 9,371.68, 12,933.68 and 5,180

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Solution

The fourth proportional to 9,371.68, 12,933.68 and 5,180 is: 7,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.68 : 12,933.68 = 5,180 : x
  2. Step 2: Convert to fraction form
    9,371.68/12,933.68 = 5,180/x
  3. Step 3: Cross multiply
    9,371.68x = 12,933.68 × 5,180
  4. Step 4: Simplify right side
    9,371.68x = 66,996,462.40
  5. Step 5: Solve for x
    x = 66,996,462.40/9,371.68
  6. Step 6: Final answer
    x = 7,148.82

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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.