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Finding the Fourth Proportional to 7,875.38, 10,859.02 and 5,882.58

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Solution

The fourth proportional to 7,875.38, 10,859.02 and 5,882.58 is: 8,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.38 : 10,859.02 = 5,882.58 : x
  2. Step 2: Convert to fraction form
    7,875.38/10,859.02 = 5,882.58/x
  3. Step 3: Cross multiply
    7,875.38x = 10,859.02 × 5,882.58
  4. Step 4: Simplify right side
    7,875.38x = 63,879,039.17
  5. Step 5: Solve for x
    x = 63,879,039.17/7,875.38
  6. Step 6: Final answer
    x = 8,111.23

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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.