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Finding the Fourth Proportional to 7,869.00, 10,859.16 and 4,332.13

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Solution

The fourth proportional to 7,869.00, 10,859.16 and 4,332.13 is: 5,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.00 : 10,859.16 = 4,332.13 : x
  2. Step 2: Convert to fraction form
    7,869.00/10,859.16 = 4,332.13/x
  3. Step 3: Cross multiply
    7,869.00x = 10,859.16 × 4,332.13
  4. Step 4: Simplify right side
    7,869.00x = 47,043,290.14
  5. Step 5: Solve for x
    x = 47,043,290.14/7,869.00
  6. Step 6: Final answer
    x = 5,978.31

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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.