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Finding the Fourth Proportional to 1,947.15, 2,918.43 and 971.25

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Solution

The fourth proportional to 1,947.15, 2,918.43 and 971.25 is: 1,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.15 : 2,918.43 = 971.25 : x
  2. Step 2: Convert to fraction form
    1,947.15/2,918.43 = 971.25/x
  3. Step 3: Cross multiply
    1,947.15x = 2,918.43 × 971.25
  4. Step 4: Simplify right side
    1,947.15x = 2,834,525.14
  5. Step 5: Solve for x
    x = 2,834,525.14/1,947.15
  6. Step 6: Final answer
    x = 1,455.73

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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.