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Finding the Fourth Proportional to 1,122.03, 1,692.02 and 1,106.64

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Solution

The fourth proportional to 1,122.03, 1,692.02 and 1,106.64 is: 1,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.03 : 1,692.02 = 1,106.64 : x
  2. Step 2: Convert to fraction form
    1,122.03/1,692.02 = 1,106.64/x
  3. Step 3: Cross multiply
    1,122.03x = 1,692.02 × 1,106.64
  4. Step 4: Simplify right side
    1,122.03x = 1,872,459.78
  5. Step 5: Solve for x
    x = 1,872,459.78/1,122.03
  6. Step 6: Final answer
    x = 1,668.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.