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Finding the Fourth Proportional to 8,155.28, 11,259.06 and 5,915

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Solution

The fourth proportional to 8,155.28, 11,259.06 and 5,915 is: 8,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.28 : 11,259.06 = 5,915 : x
  2. Step 2: Convert to fraction form
    8,155.28/11,259.06 = 5,915/x
  3. Step 3: Cross multiply
    8,155.28x = 11,259.06 × 5,915
  4. Step 4: Simplify right side
    8,155.28x = 66,597,339.90
  5. Step 5: Solve for x
    x = 66,597,339.90/8,155.28
  6. Step 6: Final answer
    x = 8,166.16

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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.