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Finding the Fourth Proportional to 2,642.74, 3,646.96 and 1,580.96

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Solution

The fourth proportional to 2,642.74, 3,646.96 and 1,580.96 is: 2,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.74 : 3,646.96 = 1,580.96 : x
  2. Step 2: Convert to fraction form
    2,642.74/3,646.96 = 1,580.96/x
  3. Step 3: Cross multiply
    2,642.74x = 3,646.96 × 1,580.96
  4. Step 4: Simplify right side
    2,642.74x = 5,765,703.05
  5. Step 5: Solve for x
    x = 5,765,703.05/2,642.74
  6. Step 6: Final answer
    x = 2,181.72

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1.5x scale

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.