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Finding the Fourth Proportional to 3,659.65, 5,482.83 and 1,686.94

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Solution

The fourth proportional to 3,659.65, 5,482.83 and 1,686.94 is: 2,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.65 : 5,482.83 = 1,686.94 : x
  2. Step 2: Convert to fraction form
    3,659.65/5,482.83 = 1,686.94/x
  3. Step 3: Cross multiply
    3,659.65x = 5,482.83 × 1,686.94
  4. Step 4: Simplify right side
    3,659.65x = 9,249,205.24
  5. Step 5: Solve for x
    x = 9,249,205.24/3,659.65
  6. Step 6: Final answer
    x = 2,527.35

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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.