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Finding the Fourth Proportional to 10,243.66, 15,375.06 and 5,316.76

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Solution

The fourth proportional to 10,243.66, 15,375.06 and 5,316.76 is: 7,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.66 : 15,375.06 = 5,316.76 : x
  2. Step 2: Convert to fraction form
    10,243.66/15,375.06 = 5,316.76/x
  3. Step 3: Cross multiply
    10,243.66x = 15,375.06 × 5,316.76
  4. Step 4: Simplify right side
    10,243.66x = 81,745,477.42
  5. Step 5: Solve for x
    x = 81,745,477.42/10,243.66
  6. Step 6: Final answer
    x = 7,980.10

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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.