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Finding the Fourth Proportional to 9,776.77, 14,665.11 and 2,381.20

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Solution

The fourth proportional to 9,776.77, 14,665.11 and 2,381.20 is: 3,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.77 : 14,665.11 = 2,381.20 : x
  2. Step 2: Convert to fraction form
    9,776.77/14,665.11 = 2,381.20/x
  3. Step 3: Cross multiply
    9,776.77x = 14,665.11 × 2,381.20
  4. Step 4: Simplify right side
    9,776.77x = 34,920,559.93
  5. Step 5: Solve for x
    x = 34,920,559.93/9,776.77
  6. Step 6: Final answer
    x = 3,571.79

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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.