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Finding the Fourth Proportional to 6,435.12, 8,881.24 and 3,782.76

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Solution

The fourth proportional to 6,435.12, 8,881.24 and 3,782.76 is: 5,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.12 : 8,881.24 = 3,782.76 : x
  2. Step 2: Convert to fraction form
    6,435.12/8,881.24 = 3,782.76/x
  3. Step 3: Cross multiply
    6,435.12x = 8,881.24 × 3,782.76
  4. Step 4: Simplify right side
    6,435.12x = 33,595,599.42
  5. Step 5: Solve for x
    x = 33,595,599.42/6,435.12
  6. Step 6: Final answer
    x = 5,220.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.