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Finding the Fourth Proportional to 1,102.84, 1,643.54 and 1,069.50

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Solution

The fourth proportional to 1,102.84, 1,643.54 and 1,069.50 is: 1,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.84 : 1,643.54 = 1,069.50 : x
  2. Step 2: Convert to fraction form
    1,102.84/1,643.54 = 1,069.50/x
  3. Step 3: Cross multiply
    1,102.84x = 1,643.54 × 1,069.50
  4. Step 4: Simplify right side
    1,102.84x = 1,757,772.86
  5. Step 5: Solve for x
    x = 1,757,772.86/1,102.84
  6. Step 6: Final answer
    x = 1,593.86

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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.