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Finding the Fourth Proportional to 3,077.06, 4,615.56 and 768.56

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Solution

The fourth proportional to 3,077.06, 4,615.56 and 768.56 is: 1,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.06 : 4,615.56 = 768.56 : x
  2. Step 2: Convert to fraction form
    3,077.06/4,615.56 = 768.56/x
  3. Step 3: Cross multiply
    3,077.06x = 4,615.56 × 768.56
  4. Step 4: Simplify right side
    3,077.06x = 3,547,334.79
  5. Step 5: Solve for x
    x = 3,547,334.79/3,077.06
  6. Step 6: Final answer
    x = 1,152.83

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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.