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Finding the Fourth Proportional to 7,877, 10,875.62 and 4,894.04

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Solution

The fourth proportional to 7,877, 10,875.62 and 4,894.04 is: 6,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877 : 10,875.62 = 4,894.04 : x
  2. Step 2: Convert to fraction form
    7,877/10,875.62 = 4,894.04/x
  3. Step 3: Cross multiply
    7,877x = 10,875.62 × 4,894.04
  4. Step 4: Simplify right side
    7,877x = 53,225,719.30
  5. Step 5: Solve for x
    x = 53,225,719.30/7,877
  6. Step 6: Final answer
    x = 6,757.11

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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.