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Finding the Fourth Proportional to 8,275.71, 11,423.25 and 4,742.49

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Solution

The fourth proportional to 8,275.71, 11,423.25 and 4,742.49 is: 6,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.71 : 11,423.25 = 4,742.49 : x
  2. Step 2: Convert to fraction form
    8,275.71/11,423.25 = 4,742.49/x
  3. Step 3: Cross multiply
    8,275.71x = 11,423.25 × 4,742.49
  4. Step 4: Simplify right side
    8,275.71x = 54,174,648.89
  5. Step 5: Solve for x
    x = 54,174,648.89/8,275.71
  6. Step 6: Final answer
    x = 6,546.22

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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.