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Finding the Fourth Proportional to 10,645.76, 15,974.52 and 4,072.88

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Solution

The fourth proportional to 10,645.76, 15,974.52 and 4,072.88 is: 6,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.76 : 15,974.52 = 4,072.88 : x
  2. Step 2: Convert to fraction form
    10,645.76/15,974.52 = 4,072.88/x
  3. Step 3: Cross multiply
    10,645.76x = 15,974.52 × 4,072.88
  4. Step 4: Simplify right side
    10,645.76x = 65,062,303.02
  5. Step 5: Solve for x
    x = 65,062,303.02/10,645.76
  6. Step 6: Final answer
    x = 6,111.57

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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.