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Finding the Fourth Proportional to 1,650.84, 2,276.87 and 987.56

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Solution

The fourth proportional to 1,650.84, 2,276.87 and 987.56 is: 1,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.84 : 2,276.87 = 987.56 : x
  2. Step 2: Convert to fraction form
    1,650.84/2,276.87 = 987.56/x
  3. Step 3: Cross multiply
    1,650.84x = 2,276.87 × 987.56
  4. Step 4: Simplify right side
    1,650.84x = 2,248,545.74
  5. Step 5: Solve for x
    x = 2,248,545.74/1,650.84
  6. Step 6: Final answer
    x = 1,362.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.