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Finding the Fourth Proportional to 2,625.35, 3,938.63 and 870.35

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Solution

The fourth proportional to 2,625.35, 3,938.63 and 870.35 is: 1,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.35 : 3,938.63 = 870.35 : x
  2. Step 2: Convert to fraction form
    2,625.35/3,938.63 = 870.35/x
  3. Step 3: Cross multiply
    2,625.35x = 3,938.63 × 870.35
  4. Step 4: Simplify right side
    2,625.35x = 3,427,962.58
  5. Step 5: Solve for x
    x = 3,427,962.58/2,625.35
  6. Step 6: Final answer
    x = 1,305.72

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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.