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Finding the Fourth Proportional to 1,524.62, 2,289.63 and 1,402.62

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Solution

The fourth proportional to 1,524.62, 2,289.63 and 1,402.62 is: 2,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.62 : 2,289.63 = 1,402.62 : x
  2. Step 2: Convert to fraction form
    1,524.62/2,289.63 = 1,402.62/x
  3. Step 3: Cross multiply
    1,524.62x = 2,289.63 × 1,402.62
  4. Step 4: Simplify right side
    1,524.62x = 3,211,480.83
  5. Step 5: Solve for x
    x = 3,211,480.83/1,524.62
  6. Step 6: Final answer
    x = 2,106.41

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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.