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Finding the Fourth Proportional to 6,132.64, 8,455.50 and 5,186.74

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Solution

The fourth proportional to 6,132.64, 8,455.50 and 5,186.74 is: 7,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.64 : 8,455.50 = 5,186.74 : x
  2. Step 2: Convert to fraction form
    6,132.64/8,455.50 = 5,186.74/x
  3. Step 3: Cross multiply
    6,132.64x = 8,455.50 × 5,186.74
  4. Step 4: Simplify right side
    6,132.64x = 43,856,480.07
  5. Step 5: Solve for x
    x = 43,856,480.07/6,132.64
  6. Step 6: Final answer
    x = 7,151.32

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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.