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Finding the Fourth Proportional to 2,042.40, 2,820.24 and 1,514.40

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Solution

The fourth proportional to 2,042.40, 2,820.24 and 1,514.40 is: 2,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.40 : 2,820.24 = 1,514.40 : x
  2. Step 2: Convert to fraction form
    2,042.40/2,820.24 = 1,514.40/x
  3. Step 3: Cross multiply
    2,042.40x = 2,820.24 × 1,514.40
  4. Step 4: Simplify right side
    2,042.40x = 4,270,971.46
  5. Step 5: Solve for x
    x = 4,270,971.46/2,042.40
  6. Step 6: Final answer
    x = 2,091.15

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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.