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Finding the Fourth Proportional to 7,148,499.42, 9,865,029.09 and 3,885,313.20

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Solution

The fourth proportional to 7,148,499.42, 9,865,029.09 and 3,885,313.20 is: 5,361,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148,499.42 : 9,865,029.09 = 3,885,313.20 : x
  2. Step 2: Convert to fraction form
    7,148,499.42/9,865,029.09 = 3,885,313.20/x
  3. Step 3: Cross multiply
    7,148,499.42x = 9,865,029.09 × 3,885,313.20
  4. Step 4: Simplify right side
    7,148,499.42x = 38,328,727,741,760.99
  5. Step 5: Solve for x
    x = 38,328,727,741,760.99/7,148,499.42
  6. Step 6: Final answer
    x = 5,361,786.51

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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.