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Finding the Fourth Proportional to 1,121.84, 1,532.50 and 1,114.64

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Solution

The fourth proportional to 1,121.84, 1,532.50 and 1,114.64 is: 1,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.84 : 1,532.50 = 1,114.64 : x
  2. Step 2: Convert to fraction form
    1,121.84/1,532.50 = 1,114.64/x
  3. Step 3: Cross multiply
    1,121.84x = 1,532.50 × 1,114.64
  4. Step 4: Simplify right side
    1,121.84x = 1,708,185.80
  5. Step 5: Solve for x
    x = 1,708,185.80/1,121.84
  6. Step 6: Final answer
    x = 1,522.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.