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Finding the Fourth Proportional to 6,410.88, 9,607.95 and 3,638.79

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Solution

The fourth proportional to 6,410.88, 9,607.95 and 3,638.79 is: 5,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.88 : 9,607.95 = 3,638.79 : x
  2. Step 2: Convert to fraction form
    6,410.88/9,607.95 = 3,638.79/x
  3. Step 3: Cross multiply
    6,410.88x = 9,607.95 × 3,638.79
  4. Step 4: Simplify right side
    6,410.88x = 34,961,312.38
  5. Step 5: Solve for x
    x = 34,961,312.38/6,410.88
  6. Step 6: Final answer
    x = 5,453.43

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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.