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Finding the Fourth Proportional to 2,902.76, 4,005.81 and 1,576.47

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Solution

The fourth proportional to 2,902.76, 4,005.81 and 1,576.47 is: 2,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.76 : 4,005.81 = 1,576.47 : x
  2. Step 2: Convert to fraction form
    2,902.76/4,005.81 = 1,576.47/x
  3. Step 3: Cross multiply
    2,902.76x = 4,005.81 × 1,576.47
  4. Step 4: Simplify right side
    2,902.76x = 6,315,039.29
  5. Step 5: Solve for x
    x = 6,315,039.29/2,902.76
  6. Step 6: Final answer
    x = 2,175.53

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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.