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Finding the Fourth Proportional to 2,957, 4,435.50 and 1,009.22

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Solution

The fourth proportional to 2,957, 4,435.50 and 1,009.22 is: 1,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957 : 4,435.50 = 1,009.22 : x
  2. Step 2: Convert to fraction form
    2,957/4,435.50 = 1,009.22/x
  3. Step 3: Cross multiply
    2,957x = 4,435.50 × 1,009.22
  4. Step 4: Simplify right side
    2,957x = 4,476,395.31
  5. Step 5: Solve for x
    x = 4,476,395.31/2,957
  6. Step 6: Final answer
    x = 1,513.83

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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.