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Finding the Fourth Proportional to 8,340.55, 11,510 and 5,356.41

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Solution

The fourth proportional to 8,340.55, 11,510 and 5,356.41 is: 7,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.55 : 11,510 = 5,356.41 : x
  2. Step 2: Convert to fraction form
    8,340.55/11,510 = 5,356.41/x
  3. Step 3: Cross multiply
    8,340.55x = 11,510 × 5,356.41
  4. Step 4: Simplify right side
    8,340.55x = 61,652,279.10
  5. Step 5: Solve for x
    x = 61,652,279.10/8,340.55
  6. Step 6: Final answer
    x = 7,391.87

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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.