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Finding the Fourth Proportional to 3,482.91, 5,223.05 and 1,402.21

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Solution

The fourth proportional to 3,482.91, 5,223.05 and 1,402.21 is: 2,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.91 : 5,223.05 = 1,402.21 : x
  2. Step 2: Convert to fraction form
    3,482.91/5,223.05 = 1,402.21/x
  3. Step 3: Cross multiply
    3,482.91x = 5,223.05 × 1,402.21
  4. Step 4: Simplify right side
    3,482.91x = 7,323,812.94
  5. Step 5: Solve for x
    x = 7,323,812.94/3,482.91
  6. Step 6: Final answer
    x = 2,102.79

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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.