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Finding the Fourth Proportional to 7,807.86, 11,712.56 and 2,876.34

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Solution

The fourth proportional to 7,807.86, 11,712.56 and 2,876.34 is: 4,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.86 : 11,712.56 = 2,876.34 : x
  2. Step 2: Convert to fraction form
    7,807.86/11,712.56 = 2,876.34/x
  3. Step 3: Cross multiply
    7,807.86x = 11,712.56 × 2,876.34
  4. Step 4: Simplify right side
    7,807.86x = 33,689,304.83
  5. Step 5: Solve for x
    x = 33,689,304.83/7,807.86
  6. Step 6: Final answer
    x = 4,314.79

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1.5x scale

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.