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Finding the Fourth Proportional to 7,760.42, 11,643.06 and 4,990.22

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Solution

The fourth proportional to 7,760.42, 11,643.06 and 4,990.22 is: 7,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.42 : 11,643.06 = 4,990.22 : x
  2. Step 2: Convert to fraction form
    7,760.42/11,643.06 = 4,990.22/x
  3. Step 3: Cross multiply
    7,760.42x = 11,643.06 × 4,990.22
  4. Step 4: Simplify right side
    7,760.42x = 58,101,406.96
  5. Step 5: Solve for x
    x = 58,101,406.96/7,760.42
  6. Step 6: Final answer
    x = 7,486.89

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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.