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Finding the Fourth Proportional to 7,869.75, 10,859.86 and 4,332.88

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Solution

The fourth proportional to 7,869.75, 10,859.86 and 4,332.88 is: 5,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.75 : 10,859.86 = 4,332.88 : x
  2. Step 2: Convert to fraction form
    7,869.75/10,859.86 = 4,332.88/x
  3. Step 3: Cross multiply
    7,869.75x = 10,859.86 × 4,332.88
  4. Step 4: Simplify right side
    7,869.75x = 47,054,470.20
  5. Step 5: Solve for x
    x = 47,054,470.20/7,869.75
  6. Step 6: Final answer
    x = 5,979.16

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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.