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Finding the Fourth Proportional to 7,916.32, 11,870.46 and 2,649.46

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Solution

The fourth proportional to 7,916.32, 11,870.46 and 2,649.46 is: 3,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.32 : 11,870.46 = 2,649.46 : x
  2. Step 2: Convert to fraction form
    7,916.32/11,870.46 = 2,649.46/x
  3. Step 3: Cross multiply
    7,916.32x = 11,870.46 × 2,649.46
  4. Step 4: Simplify right side
    7,916.32x = 31,450,308.95
  5. Step 5: Solve for x
    x = 31,450,308.95/7,916.32
  6. Step 6: Final answer
    x = 3,972.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.