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Finding the Fourth Proportional to 8,345, 11,516.10 and 5,034.92

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Solution

The fourth proportional to 8,345, 11,516.10 and 5,034.92 is: 6,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345 : 11,516.10 = 5,034.92 : x
  2. Step 2: Convert to fraction form
    8,345/11,516.10 = 5,034.92/x
  3. Step 3: Cross multiply
    8,345x = 11,516.10 × 5,034.92
  4. Step 4: Simplify right side
    8,345x = 57,982,642.21
  5. Step 5: Solve for x
    x = 57,982,642.21/8,345
  6. Step 6: Final answer
    x = 6,948.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.