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Finding the Fourth Proportional to 3,952.08, 5,929.20 and 1,645.20

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Solution

The fourth proportional to 3,952.08, 5,929.20 and 1,645.20 is: 2,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.08 : 5,929.20 = 1,645.20 : x
  2. Step 2: Convert to fraction form
    3,952.08/5,929.20 = 1,645.20/x
  3. Step 3: Cross multiply
    3,952.08x = 5,929.20 × 1,645.20
  4. Step 4: Simplify right side
    3,952.08x = 9,754,719.84
  5. Step 5: Solve for x
    x = 9,754,719.84/3,952.08
  6. Step 6: Final answer
    x = 2,468.25

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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.