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Finding the Fourth Proportional to 3,278.89, 4,918.34 and 970.39

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Solution

The fourth proportional to 3,278.89, 4,918.34 and 970.39 is: 1,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.89 : 4,918.34 = 970.39 : x
  2. Step 2: Convert to fraction form
    3,278.89/4,918.34 = 970.39/x
  3. Step 3: Cross multiply
    3,278.89x = 4,918.34 × 970.39
  4. Step 4: Simplify right side
    3,278.89x = 4,772,707.95
  5. Step 5: Solve for x
    x = 4,772,707.95/3,278.89
  6. Step 6: Final answer
    x = 1,455.59

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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.