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Finding the Fourth Proportional to 2,585.90, 3,568.47 and 1,406.90

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Solution

The fourth proportional to 2,585.90, 3,568.47 and 1,406.90 is: 1,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.90 : 3,568.47 = 1,406.90 : x
  2. Step 2: Convert to fraction form
    2,585.90/3,568.47 = 1,406.90/x
  3. Step 3: Cross multiply
    2,585.90x = 3,568.47 × 1,406.90
  4. Step 4: Simplify right side
    2,585.90x = 5,020,480.44
  5. Step 5: Solve for x
    x = 5,020,480.44/2,585.90
  6. Step 6: Final answer
    x = 1,941.48

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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.