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Finding the Fourth Proportional to 7,148,493.82, 9,865,021.37 and 3,885,307.57

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Solution

The fourth proportional to 7,148,493.82, 9,865,021.37 and 3,885,307.57 is: 5,361,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148,493.82 : 9,865,021.37 = 3,885,307.57 : x
  2. Step 2: Convert to fraction form
    7,148,493.82/9,865,021.37 = 3,885,307.57/x
  3. Step 3: Cross multiply
    7,148,493.82x = 9,865,021.37 × 3,885,307.57
  4. Step 4: Simplify right side
    7,148,493.82x = 38,328,642,210,479.10
  5. Step 5: Solve for x
    x = 38,328,642,210,479.10/7,148,493.82
  6. Step 6: Final answer
    x = 5,361,778.74

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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.