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Finding the Fourth Proportional to 10,182.88, 15,274.16 and 4,918.40

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Solution

The fourth proportional to 10,182.88, 15,274.16 and 4,918.40 is: 7,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.88 : 15,274.16 = 4,918.40 : x
  2. Step 2: Convert to fraction form
    10,182.88/15,274.16 = 4,918.40/x
  3. Step 3: Cross multiply
    10,182.88x = 15,274.16 × 4,918.40
  4. Step 4: Simplify right side
    10,182.88x = 75,124,428.54
  5. Step 5: Solve for x
    x = 75,124,428.54/10,182.88
  6. Step 6: Final answer
    x = 7,377.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.