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Finding the Fourth Proportional to 2,381.78, 3,572.70 and 650.40

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Solution

The fourth proportional to 2,381.78, 3,572.70 and 650.40 is: 975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.78 : 3,572.70 = 650.40 : x
  2. Step 2: Convert to fraction form
    2,381.78/3,572.70 = 650.40/x
  3. Step 3: Cross multiply
    2,381.78x = 3,572.70 × 650.40
  4. Step 4: Simplify right side
    2,381.78x = 2,323,680.83
  5. Step 5: Solve for x
    x = 2,323,680.83/2,381.78
  6. Step 6: Final answer
    x = 975.61

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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.