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Finding the Fourth Proportional to 1,107, 1,646.88 and 1,103.28

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Solution

The fourth proportional to 1,107, 1,646.88 and 1,103.28 is: 1,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107 : 1,646.88 = 1,103.28 : x
  2. Step 2: Convert to fraction form
    1,107/1,646.88 = 1,103.28/x
  3. Step 3: Cross multiply
    1,107x = 1,646.88 × 1,103.28
  4. Step 4: Simplify right side
    1,107x = 1,816,969.77
  5. Step 5: Solve for x
    x = 1,816,969.77/1,107
  6. Step 6: Final answer
    x = 1,641.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.