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Finding the Fourth Proportional to 3,531.84, 4,866.84 and 2,641.20

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Solution

The fourth proportional to 3,531.84, 4,866.84 and 2,641.20 is: 3,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.84 : 4,866.84 = 2,641.20 : x
  2. Step 2: Convert to fraction form
    3,531.84/4,866.84 = 2,641.20/x
  3. Step 3: Cross multiply
    3,531.84x = 4,866.84 × 2,641.20
  4. Step 4: Simplify right side
    3,531.84x = 12,854,297.81
  5. Step 5: Solve for x
    x = 12,854,297.81/3,531.84
  6. Step 6: Final answer
    x = 3,639.55

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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.