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Finding the Fourth Proportional to 7,867.64, 10,857.16 and 4,330.82

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Solution

The fourth proportional to 7,867.64, 10,857.16 and 4,330.82 is: 5,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.64 : 10,857.16 = 4,330.82 : x
  2. Step 2: Convert to fraction form
    7,867.64/10,857.16 = 4,330.82/x
  3. Step 3: Cross multiply
    7,867.64x = 10,857.16 × 4,330.82
  4. Step 4: Simplify right side
    7,867.64x = 47,020,405.67
  5. Step 5: Solve for x
    x = 47,020,405.67/7,867.64
  6. Step 6: Final answer
    x = 5,976.43

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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.