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Finding the Fourth Proportional to 4,287.66, 6,420.14 and 3,506.82

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Solution

The fourth proportional to 4,287.66, 6,420.14 and 3,506.82 is: 5,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.66 : 6,420.14 = 3,506.82 : x
  2. Step 2: Convert to fraction form
    4,287.66/6,420.14 = 3,506.82/x
  3. Step 3: Cross multiply
    4,287.66x = 6,420.14 × 3,506.82
  4. Step 4: Simplify right side
    4,287.66x = 22,514,275.35
  5. Step 5: Solve for x
    x = 22,514,275.35/4,287.66
  6. Step 6: Final answer
    x = 5,250.95

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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.