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Finding the Fourth Proportional to 7,870.92, 10,862.56 and 4,334.82

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Solution

The fourth proportional to 7,870.92, 10,862.56 and 4,334.82 is: 5,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.92 : 10,862.56 = 4,334.82 : x
  2. Step 2: Convert to fraction form
    7,870.92/10,862.56 = 4,334.82/x
  3. Step 3: Cross multiply
    7,870.92x = 10,862.56 × 4,334.82
  4. Step 4: Simplify right side
    7,870.92x = 47,087,182.64
  5. Step 5: Solve for x
    x = 47,087,182.64/7,870.92
  6. Step 6: Final answer
    x = 5,982.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.