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Finding the Fourth Proportional to 6,364.74, 9,546.52 and 1,981.76

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Solution

The fourth proportional to 6,364.74, 9,546.52 and 1,981.76 is: 2,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.74 : 9,546.52 = 1,981.76 : x
  2. Step 2: Convert to fraction form
    6,364.74/9,546.52 = 1,981.76/x
  3. Step 3: Cross multiply
    6,364.74x = 9,546.52 × 1,981.76
  4. Step 4: Simplify right side
    6,364.74x = 18,918,911.48
  5. Step 5: Solve for x
    x = 18,918,911.48/6,364.74
  6. Step 6: Final answer
    x = 2,972.46

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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.