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Finding the Fourth Proportional to 7,876.68, 11,807.73 and 4,411.50

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Solution

The fourth proportional to 7,876.68, 11,807.73 and 4,411.50 is: 6,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.68 : 11,807.73 = 4,411.50 : x
  2. Step 2: Convert to fraction form
    7,876.68/11,807.73 = 4,411.50/x
  3. Step 3: Cross multiply
    7,876.68x = 11,807.73 × 4,411.50
  4. Step 4: Simplify right side
    7,876.68x = 52,089,800.90
  5. Step 5: Solve for x
    x = 52,089,800.90/7,876.68
  6. Step 6: Final answer
    x = 6,613.17

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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.