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Finding the Fourth Proportional to 1,538.48, 2,304.10 and 1,017.18

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Solution

The fourth proportional to 1,538.48, 2,304.10 and 1,017.18 is: 1,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.48 : 2,304.10 = 1,017.18 : x
  2. Step 2: Convert to fraction form
    1,538.48/2,304.10 = 1,017.18/x
  3. Step 3: Cross multiply
    1,538.48x = 2,304.10 × 1,017.18
  4. Step 4: Simplify right side
    1,538.48x = 2,343,684.44
  5. Step 5: Solve for x
    x = 2,343,684.44/1,538.48
  6. Step 6: Final answer
    x = 1,523.38

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