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Finding the Fourth Proportional to 7,876.46, 10,869.04 and 4,689.99

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Solution

The fourth proportional to 7,876.46, 10,869.04 and 4,689.99 is: 6,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.46 : 10,869.04 = 4,689.99 : x
  2. Step 2: Convert to fraction form
    7,876.46/10,869.04 = 4,689.99/x
  3. Step 3: Cross multiply
    7,876.46x = 10,869.04 × 4,689.99
  4. Step 4: Simplify right side
    7,876.46x = 50,975,688.91
  5. Step 5: Solve for x
    x = 50,975,688.91/7,876.46
  6. Step 6: Final answer
    x = 6,471.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.