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Finding the Fourth Proportional to 5,785.96, 8,681.56 and 2,275

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Solution

The fourth proportional to 5,785.96, 8,681.56 and 2,275 is: 3,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.96 : 8,681.56 = 2,275 : x
  2. Step 2: Convert to fraction form
    5,785.96/8,681.56 = 2,275/x
  3. Step 3: Cross multiply
    5,785.96x = 8,681.56 × 2,275
  4. Step 4: Simplify right side
    5,785.96x = 19,750,549
  5. Step 5: Solve for x
    x = 19,750,549/5,785.96
  6. Step 6: Final answer
    x = 3,413.53

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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.