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Finding the Fourth Proportional to 2,820.76, 4,231.39 and 740.76

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Solution

The fourth proportional to 2,820.76, 4,231.39 and 740.76 is: 1,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.76 : 4,231.39 = 740.76 : x
  2. Step 2: Convert to fraction form
    2,820.76/4,231.39 = 740.76/x
  3. Step 3: Cross multiply
    2,820.76x = 4,231.39 × 740.76
  4. Step 4: Simplify right side
    2,820.76x = 3,134,444.46
  5. Step 5: Solve for x
    x = 3,134,444.46/2,820.76
  6. Step 6: Final answer
    x = 1,111.21

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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.