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Finding the Fourth Proportional to 2,652.57, 3,659.79 and 2,091.30

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Solution

The fourth proportional to 2,652.57, 3,659.79 and 2,091.30 is: 2,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.57 : 3,659.79 = 2,091.30 : x
  2. Step 2: Convert to fraction form
    2,652.57/3,659.79 = 2,091.30/x
  3. Step 3: Cross multiply
    2,652.57x = 3,659.79 × 2,091.30
  4. Step 4: Simplify right side
    2,652.57x = 7,653,718.83
  5. Step 5: Solve for x
    x = 7,653,718.83/2,652.57
  6. Step 6: Final answer
    x = 2,885.40

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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.