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Finding the Fourth Proportional to 1,568.91, 2,363.85 and 1,420.86

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Solution

The fourth proportional to 1,568.91, 2,363.85 and 1,420.86 is: 2,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.91 : 2,363.85 = 1,420.86 : x
  2. Step 2: Convert to fraction form
    1,568.91/2,363.85 = 1,420.86/x
  3. Step 3: Cross multiply
    1,568.91x = 2,363.85 × 1,420.86
  4. Step 4: Simplify right side
    1,568.91x = 3,358,699.91
  5. Step 5: Solve for x
    x = 3,358,699.91/1,568.91
  6. Step 6: Final answer
    x = 2,140.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.