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Finding the Fourth Proportional to 2,586.70, 3,567.74 and 1,641.68

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Solution

The fourth proportional to 2,586.70, 3,567.74 and 1,641.68 is: 2,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.70 : 3,567.74 = 1,641.68 : x
  2. Step 2: Convert to fraction form
    2,586.70/3,567.74 = 1,641.68/x
  3. Step 3: Cross multiply
    2,586.70x = 3,567.74 × 1,641.68
  4. Step 4: Simplify right side
    2,586.70x = 5,857,087.40
  5. Step 5: Solve for x
    x = 5,857,087.40/2,586.70
  6. Step 6: Final answer
    x = 2,264.31

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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.