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Finding the Fourth Proportional to 2,514.40, 3,770.68 and 870.48

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Solution

The fourth proportional to 2,514.40, 3,770.68 and 870.48 is: 1,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.40 : 3,770.68 = 870.48 : x
  2. Step 2: Convert to fraction form
    2,514.40/3,770.68 = 870.48/x
  3. Step 3: Cross multiply
    2,514.40x = 3,770.68 × 870.48
  4. Step 4: Simplify right side
    2,514.40x = 3,282,301.53
  5. Step 5: Solve for x
    x = 3,282,301.53/2,514.40
  6. Step 6: Final answer
    x = 1,305.40

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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.