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Finding the Fourth Proportional to 7,321.78, 10,988.14 and 5,878.36

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Solution

The fourth proportional to 7,321.78, 10,988.14 and 5,878.36 is: 8,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.78 : 10,988.14 = 5,878.36 : x
  2. Step 2: Convert to fraction form
    7,321.78/10,988.14 = 5,878.36/x
  3. Step 3: Cross multiply
    7,321.78x = 10,988.14 × 5,878.36
  4. Step 4: Simplify right side
    7,321.78x = 64,592,242.65
  5. Step 5: Solve for x
    x = 64,592,242.65/7,321.78
  6. Step 6: Final answer
    x = 8,821.93

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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.