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Finding the Fourth Proportional to 7,854.11, 10,828.56 and 6,432.56

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Solution

The fourth proportional to 7,854.11, 10,828.56 and 6,432.56 is: 8,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.11 : 10,828.56 = 6,432.56 : x
  2. Step 2: Convert to fraction form
    7,854.11/10,828.56 = 6,432.56/x
  3. Step 3: Cross multiply
    7,854.11x = 10,828.56 × 6,432.56
  4. Step 4: Simplify right side
    7,854.11x = 69,655,275.61
  5. Step 5: Solve for x
    x = 69,655,275.61/7,854.11
  6. Step 6: Final answer
    x = 8,868.65

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1.5x scale

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.