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Finding the Fourth Proportional to 3,472.92, 5,209.25 and 1,392.30

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Solution

The fourth proportional to 3,472.92, 5,209.25 and 1,392.30 is: 2,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.92 : 5,209.25 = 1,392.30 : x
  2. Step 2: Convert to fraction form
    3,472.92/5,209.25 = 1,392.30/x
  3. Step 3: Cross multiply
    3,472.92x = 5,209.25 × 1,392.30
  4. Step 4: Simplify right side
    3,472.92x = 7,252,831.81
  5. Step 5: Solve for x
    x = 7,252,831.81/3,472.92
  6. Step 6: Final answer
    x = 2,088.40

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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.