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Finding the Fourth Proportional to 1,340.14, 1,849.60 and 816.08

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Solution

The fourth proportional to 1,340.14, 1,849.60 and 816.08 is: 1,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.14 : 1,849.60 = 816.08 : x
  2. Step 2: Convert to fraction form
    1,340.14/1,849.60 = 816.08/x
  3. Step 3: Cross multiply
    1,340.14x = 1,849.60 × 816.08
  4. Step 4: Simplify right side
    1,340.14x = 1,509,421.57
  5. Step 5: Solve for x
    x = 1,509,421.57/1,340.14
  6. Step 6: Final answer
    x = 1,126.32

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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.