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Finding the Fourth Proportional to 3,091.76, 4,637.58 and 751.78

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Solution

The fourth proportional to 3,091.76, 4,637.58 and 751.78 is: 1,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.76 : 4,637.58 = 751.78 : x
  2. Step 2: Convert to fraction form
    3,091.76/4,637.58 = 751.78/x
  3. Step 3: Cross multiply
    3,091.76x = 4,637.58 × 751.78
  4. Step 4: Simplify right side
    3,091.76x = 3,486,432.22
  5. Step 5: Solve for x
    x = 3,486,432.22/3,091.76
  6. Step 6: Final answer
    x = 1,127.65

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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.