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Finding the Fourth Proportional to 3,659.56, 5,486.50 and 1,809.40

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Solution

The fourth proportional to 3,659.56, 5,486.50 and 1,809.40 is: 2,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.56 : 5,486.50 = 1,809.40 : x
  2. Step 2: Convert to fraction form
    3,659.56/5,486.50 = 1,809.40/x
  3. Step 3: Cross multiply
    3,659.56x = 5,486.50 × 1,809.40
  4. Step 4: Simplify right side
    3,659.56x = 9,927,273.10
  5. Step 5: Solve for x
    x = 9,927,273.10/3,659.56
  6. Step 6: Final answer
    x = 2,712.70

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1.5x scale

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.