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Finding the Fourth Proportional to 10,111.75, 15,167.63 and 2,815.75

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Solution

The fourth proportional to 10,111.75, 15,167.63 and 2,815.75 is: 4,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.75 : 15,167.63 = 2,815.75 : x
  2. Step 2: Convert to fraction form
    10,111.75/15,167.63 = 2,815.75/x
  3. Step 3: Cross multiply
    10,111.75x = 15,167.63 × 2,815.75
  4. Step 4: Simplify right side
    10,111.75x = 42,708,254.17
  5. Step 5: Solve for x
    x = 42,708,254.17/10,111.75
  6. Step 6: Final answer
    x = 4,223.63

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1.5x scale

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.