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Finding the Fourth Proportional to 1,218.02, 1,824.60 and 1,216.40

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Solution

The fourth proportional to 1,218.02, 1,824.60 and 1,216.40 is: 1,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.02 : 1,824.60 = 1,216.40 : x
  2. Step 2: Convert to fraction form
    1,218.02/1,824.60 = 1,216.40/x
  3. Step 3: Cross multiply
    1,218.02x = 1,824.60 × 1,216.40
  4. Step 4: Simplify right side
    1,218.02x = 2,219,443.44
  5. Step 5: Solve for x
    x = 2,219,443.44/1,218.02
  6. Step 6: Final answer
    x = 1,822.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.