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Finding the Fourth Proportional to 2,902.67, 4,005.62 and 1,576.37

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Solution

The fourth proportional to 2,902.67, 4,005.62 and 1,576.37 is: 2,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.67 : 4,005.62 = 1,576.37 : x
  2. Step 2: Convert to fraction form
    2,902.67/4,005.62 = 1,576.37/x
  3. Step 3: Cross multiply
    2,902.67x = 4,005.62 × 1,576.37
  4. Step 4: Simplify right side
    2,902.67x = 6,314,319.17
  5. Step 5: Solve for x
    x = 6,314,319.17/2,902.67
  6. Step 6: Final answer
    x = 2,175.35

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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.