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Finding the Fourth Proportional to 1,812.64, 2,503.20 and 1,192

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Solution

The fourth proportional to 1,812.64, 2,503.20 and 1,192 is: 1,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.64 : 2,503.20 = 1,192 : x
  2. Step 2: Convert to fraction form
    1,812.64/2,503.20 = 1,192/x
  3. Step 3: Cross multiply
    1,812.64x = 2,503.20 × 1,192
  4. Step 4: Simplify right side
    1,812.64x = 2,983,814.40
  5. Step 5: Solve for x
    x = 2,983,814.40/1,812.64
  6. Step 6: Final answer
    x = 1,646.12

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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.