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Finding the Fourth Proportional to 7,656.00, 11,486.95 and 2,979.31

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Solution

The fourth proportional to 7,656.00, 11,486.95 and 2,979.31 is: 4,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.00 : 11,486.95 = 2,979.31 : x
  2. Step 2: Convert to fraction form
    7,656.00/11,486.95 = 2,979.31/x
  3. Step 3: Cross multiply
    7,656.00x = 11,486.95 × 2,979.31
  4. Step 4: Simplify right side
    7,656.00x = 34,223,150.64
  5. Step 5: Solve for x
    x = 34,223,150.64/7,656.00
  6. Step 6: Final answer
    x = 4,470.11

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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.