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Finding the Fourth Proportional to 7,862, 10,856.04 and 6,878.66

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Solution

The fourth proportional to 7,862, 10,856.04 and 6,878.66 is: 9,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862 : 10,856.04 = 6,878.66 : x
  2. Step 2: Convert to fraction form
    7,862/10,856.04 = 6,878.66/x
  3. Step 3: Cross multiply
    7,862x = 10,856.04 × 6,878.66
  4. Step 4: Simplify right side
    7,862x = 74,675,008.11
  5. Step 5: Solve for x
    x = 74,675,008.11/7,862
  6. Step 6: Final answer
    x = 9,498.22

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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.