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Finding the Fourth Proportional to 6,105, 9,157.65 and 2,642.25

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Solution

The fourth proportional to 6,105, 9,157.65 and 2,642.25 is: 3,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105 : 9,157.65 = 2,642.25 : x
  2. Step 2: Convert to fraction form
    6,105/9,157.65 = 2,642.25/x
  3. Step 3: Cross multiply
    6,105x = 9,157.65 × 2,642.25
  4. Step 4: Simplify right side
    6,105x = 24,196,800.71
  5. Step 5: Solve for x
    x = 24,196,800.71/6,105
  6. Step 6: Final answer
    x = 3,963.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.