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Finding the Fourth Proportional to 3,478.32, 5,216.92 and 1,530.16

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Solution

The fourth proportional to 3,478.32, 5,216.92 and 1,530.16 is: 2,294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.32 : 5,216.92 = 1,530.16 : x
  2. Step 2: Convert to fraction form
    3,478.32/5,216.92 = 1,530.16/x
  3. Step 3: Cross multiply
    3,478.32x = 5,216.92 × 1,530.16
  4. Step 4: Simplify right side
    3,478.32x = 7,982,722.31
  5. Step 5: Solve for x
    x = 7,982,722.31/3,478.32
  6. Step 6: Final answer
    x = 2,294.99

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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.