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Finding the Fourth Proportional to 2,641.50, 3,641.96 and 1,695.63

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Solution

The fourth proportional to 2,641.50, 3,641.96 and 1,695.63 is: 2,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.50 : 3,641.96 = 1,695.63 : x
  2. Step 2: Convert to fraction form
    2,641.50/3,641.96 = 1,695.63/x
  3. Step 3: Cross multiply
    2,641.50x = 3,641.96 × 1,695.63
  4. Step 4: Simplify right side
    2,641.50x = 6,175,408.16
  5. Step 5: Solve for x
    x = 6,175,408.16/2,641.50
  6. Step 6: Final answer
    x = 2,337.84

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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.