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Finding the Fourth Proportional to 9,852.64, 14,781.31 and 3,278.88

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Solution

The fourth proportional to 9,852.64, 14,781.31 and 3,278.88 is: 4,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.64 : 14,781.31 = 3,278.88 : x
  2. Step 2: Convert to fraction form
    9,852.64/14,781.31 = 3,278.88/x
  3. Step 3: Cross multiply
    9,852.64x = 14,781.31 × 3,278.88
  4. Step 4: Simplify right side
    9,852.64x = 48,466,142.76
  5. Step 5: Solve for x
    x = 48,466,142.76/9,852.64
  6. Step 6: Final answer
    x = 4,919.10

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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.