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Finding the Fourth Proportional to 2,902.70, 4,005.71 and 1,576.39

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Solution

The fourth proportional to 2,902.70, 4,005.71 and 1,576.39 is: 2,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.70 : 4,005.71 = 1,576.39 : x
  2. Step 2: Convert to fraction form
    2,902.70/4,005.71 = 1,576.39/x
  3. Step 3: Cross multiply
    2,902.70x = 4,005.71 × 1,576.39
  4. Step 4: Simplify right side
    2,902.70x = 6,314,561.19
  5. Step 5: Solve for x
    x = 6,314,561.19/2,902.70
  6. Step 6: Final answer
    x = 2,175.41

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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.