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Finding the Fourth Proportional to 7,909.16, 11,862.08 and 2,978.68

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Solution

The fourth proportional to 7,909.16, 11,862.08 and 2,978.68 is: 4,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.16 : 11,862.08 = 2,978.68 : x
  2. Step 2: Convert to fraction form
    7,909.16/11,862.08 = 2,978.68/x
  3. Step 3: Cross multiply
    7,909.16x = 11,862.08 × 2,978.68
  4. Step 4: Simplify right side
    7,909.16x = 35,333,340.45
  5. Step 5: Solve for x
    x = 35,333,340.45/7,909.16
  6. Step 6: Final answer
    x = 4,467.39

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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.