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Finding the Fourth Proportional to 2,618.10, 3,926.64 and 974.73

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Solution

The fourth proportional to 2,618.10, 3,926.64 and 974.73 is: 1,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.10 : 3,926.64 = 974.73 : x
  2. Step 2: Convert to fraction form
    2,618.10/3,926.64 = 974.73/x
  3. Step 3: Cross multiply
    2,618.10x = 3,926.64 × 974.73
  4. Step 4: Simplify right side
    2,618.10x = 3,827,413.81
  5. Step 5: Solve for x
    x = 3,827,413.81/2,618.10
  6. Step 6: Final answer
    x = 1,461.91

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1.5x scale

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.