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Finding the Fourth Proportional to 7,868.78, 10,859.10 and 4,332.08

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Solution

The fourth proportional to 7,868.78, 10,859.10 and 4,332.08 is: 5,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.78 : 10,859.10 = 4,332.08 : x
  2. Step 2: Convert to fraction form
    7,868.78/10,859.10 = 4,332.08/x
  3. Step 3: Cross multiply
    7,868.78x = 10,859.10 × 4,332.08
  4. Step 4: Simplify right side
    7,868.78x = 47,042,489.93
  5. Step 5: Solve for x
    x = 47,042,489.93/7,868.78
  6. Step 6: Final answer
    x = 5,978.37

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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.