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Finding the Fourth Proportional to 10,386.31, 15,583.11 and 6,486.16

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Solution

The fourth proportional to 10,386.31, 15,583.11 and 6,486.16 is: 9,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.31 : 15,583.11 = 6,486.16 : x
  2. Step 2: Convert to fraction form
    10,386.31/15,583.11 = 6,486.16/x
  3. Step 3: Cross multiply
    10,386.31x = 15,583.11 × 6,486.16
  4. Step 4: Simplify right side
    10,386.31x = 101,074,544.76
  5. Step 5: Solve for x
    x = 101,074,544.76/10,386.31
  6. Step 6: Final answer
    x = 9,731.52

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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.