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Finding the Fourth Proportional to 1,954.56, 2,917 and 1,875.16

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Solution

The fourth proportional to 1,954.56, 2,917 and 1,875.16 is: 2,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.56 : 2,917 = 1,875.16 : x
  2. Step 2: Convert to fraction form
    1,954.56/2,917 = 1,875.16/x
  3. Step 3: Cross multiply
    1,954.56x = 2,917 × 1,875.16
  4. Step 4: Simplify right side
    1,954.56x = 5,469,841.72
  5. Step 5: Solve for x
    x = 5,469,841.72/1,954.56
  6. Step 6: Final answer
    x = 2,798.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.