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Finding the Fourth Proportional to 10,182, 15,275.56 and 2,886

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Solution

The fourth proportional to 10,182, 15,275.56 and 2,886 is: 4,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182 : 15,275.56 = 2,886 : x
  2. Step 2: Convert to fraction form
    10,182/15,275.56 = 2,886/x
  3. Step 3: Cross multiply
    10,182x = 15,275.56 × 2,886
  4. Step 4: Simplify right side
    10,182x = 44,085,266.16
  5. Step 5: Solve for x
    x = 44,085,266.16/10,182
  6. Step 6: Final answer
    x = 4,329.73

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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.