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Finding the Fourth Proportional to 7,111.65, 10,669.16 and 2,431.71

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Solution

The fourth proportional to 7,111.65, 10,669.16 and 2,431.71 is: 3,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.65 : 10,669.16 = 2,431.71 : x
  2. Step 2: Convert to fraction form
    7,111.65/10,669.16 = 2,431.71/x
  3. Step 3: Cross multiply
    7,111.65x = 10,669.16 × 2,431.71
  4. Step 4: Simplify right side
    7,111.65x = 25,944,303.06
  5. Step 5: Solve for x
    x = 25,944,303.06/7,111.65
  6. Step 6: Final answer
    x = 3,648.14

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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.