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Finding the Fourth Proportional to 6,605, 9,895.14 and 3,314.24

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Solution

The fourth proportional to 6,605, 9,895.14 and 3,314.24 is: 4,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605 : 9,895.14 = 3,314.24 : x
  2. Step 2: Convert to fraction form
    6,605/9,895.14 = 3,314.24/x
  3. Step 3: Cross multiply
    6,605x = 9,895.14 × 3,314.24
  4. Step 4: Simplify right side
    6,605x = 32,794,868.79
  5. Step 5: Solve for x
    x = 32,794,868.79/6,605
  6. Step 6: Final answer
    x = 4,965.16

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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.