Home / 1,101.09-1,643.79-1,006.32

Finding the Fourth Proportional to 1,101.09, 1,643.79 and 1,006.32

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Solution

The fourth proportional to 1,101.09, 1,643.79 and 1,006.32 is: 1,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.09 : 1,643.79 = 1,006.32 : x
  2. Step 2: Convert to fraction form
    1,101.09/1,643.79 = 1,006.32/x
  3. Step 3: Cross multiply
    1,101.09x = 1,643.79 × 1,006.32
  4. Step 4: Simplify right side
    1,101.09x = 1,654,178.75
  5. Step 5: Solve for x
    x = 1,654,178.75/1,101.09
  6. Step 6: Final answer
    x = 1,502.31

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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.