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Finding the Fourth Proportional to 2,699.42, 3,724.68 and 1,580.40

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Solution

The fourth proportional to 2,699.42, 3,724.68 and 1,580.40 is: 2,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.42 : 3,724.68 = 1,580.40 : x
  2. Step 2: Convert to fraction form
    2,699.42/3,724.68 = 1,580.40/x
  3. Step 3: Cross multiply
    2,699.42x = 3,724.68 × 1,580.40
  4. Step 4: Simplify right side
    2,699.42x = 5,886,484.27
  5. Step 5: Solve for x
    x = 5,886,484.27/2,699.42
  6. Step 6: Final answer
    x = 2,180.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.