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Finding the Fourth Proportional to 9,510.50, 14,253.18 and 6,886.78

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Solution

The fourth proportional to 9,510.50, 14,253.18 and 6,886.78 is: 10,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.50 : 14,253.18 = 6,886.78 : x
  2. Step 2: Convert to fraction form
    9,510.50/14,253.18 = 6,886.78/x
  3. Step 3: Cross multiply
    9,510.50x = 14,253.18 × 6,886.78
  4. Step 4: Simplify right side
    9,510.50x = 98,158,514.96
  5. Step 5: Solve for x
    x = 98,158,514.96/9,510.50
  6. Step 6: Final answer
    x = 10,321.07

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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.