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Finding the Fourth Proportional to 8,398.07, 11,583.38 and 7,130.38

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Solution

The fourth proportional to 8,398.07, 11,583.38 and 7,130.38 is: 9,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.07 : 11,583.38 = 7,130.38 : x
  2. Step 2: Convert to fraction form
    8,398.07/11,583.38 = 7,130.38/x
  3. Step 3: Cross multiply
    8,398.07x = 11,583.38 × 7,130.38
  4. Step 4: Simplify right side
    8,398.07x = 82,593,871.56
  5. Step 5: Solve for x
    x = 82,593,871.56/8,398.07
  6. Step 6: Final answer
    x = 9,834.86

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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.