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Finding the Fourth Proportional to 1,117.33, 1,538.80 and 1,093.10

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Solution

The fourth proportional to 1,117.33, 1,538.80 and 1,093.10 is: 1,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.33 : 1,538.80 = 1,093.10 : x
  2. Step 2: Convert to fraction form
    1,117.33/1,538.80 = 1,093.10/x
  3. Step 3: Cross multiply
    1,117.33x = 1,538.80 × 1,093.10
  4. Step 4: Simplify right side
    1,117.33x = 1,682,061.59
  5. Step 5: Solve for x
    x = 1,682,061.59/1,117.33
  6. Step 6: Final answer
    x = 1,505.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.