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Finding the Fourth Proportional to 3,316.95, 4,973.74 and 1,930.57

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Solution

The fourth proportional to 3,316.95, 4,973.74 and 1,930.57 is: 2,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.95 : 4,973.74 = 1,930.57 : x
  2. Step 2: Convert to fraction form
    3,316.95/4,973.74 = 1,930.57/x
  3. Step 3: Cross multiply
    3,316.95x = 4,973.74 × 1,930.57
  4. Step 4: Simplify right side
    3,316.95x = 9,602,135.97
  5. Step 5: Solve for x
    x = 9,602,135.97/3,316.95
  6. Step 6: Final answer
    x = 2,894.87

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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.