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Finding the Fourth Proportional to 1,987.56, 2,981.81 and 1,954.50

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Solution

The fourth proportional to 1,987.56, 2,981.81 and 1,954.50 is: 2,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.56 : 2,981.81 = 1,954.50 : x
  2. Step 2: Convert to fraction form
    1,987.56/2,981.81 = 1,954.50/x
  3. Step 3: Cross multiply
    1,987.56x = 2,981.81 × 1,954.50
  4. Step 4: Simplify right side
    1,987.56x = 5,827,966.51
  5. Step 5: Solve for x
    x = 5,827,966.51/1,987.56
  6. Step 6: Final answer
    x = 2,932.22

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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.