Home / 1,538.14-2,307.88-807.54

Finding the Fourth Proportional to 1,538.14, 2,307.88 and 807.54

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Solution

The fourth proportional to 1,538.14, 2,307.88 and 807.54 is: 1,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.14 : 2,307.88 = 807.54 : x
  2. Step 2: Convert to fraction form
    1,538.14/2,307.88 = 807.54/x
  3. Step 3: Cross multiply
    1,538.14x = 2,307.88 × 807.54
  4. Step 4: Simplify right side
    1,538.14x = 1,863,705.42
  5. Step 5: Solve for x
    x = 1,863,705.42/1,538.14
  6. Step 6: Final answer
    x = 1,211.66

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Why These Related Problems?

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