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Finding the Fourth Proportional to 2,957.42, 4,428.55 and 2,869.82

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Solution

The fourth proportional to 2,957.42, 4,428.55 and 2,869.82 is: 4,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.42 : 4,428.55 = 2,869.82 : x
  2. Step 2: Convert to fraction form
    2,957.42/4,428.55 = 2,869.82/x
  3. Step 3: Cross multiply
    2,957.42x = 4,428.55 × 2,869.82
  4. Step 4: Simplify right side
    2,957.42x = 12,709,145.26
  5. Step 5: Solve for x
    x = 12,709,145.26/2,957.42
  6. Step 6: Final answer
    x = 4,297.38

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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.