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Finding the Fourth Proportional to 5,191,138, 7,786,707 and 1,645,282

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Solution

The fourth proportional to 5,191,138, 7,786,707 and 1,645,282 is: 2,467,923

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191,138 : 7,786,707 = 1,645,282 : x
  2. Step 2: Convert to fraction form
    5,191,138/7,786,707 = 1,645,282/x
  3. Step 3: Cross multiply
    5,191,138x = 7,786,707 × 1,645,282
  4. Step 4: Simplify right side
    5,191,138x = 12,811,328,866,374
  5. Step 5: Solve for x
    x = 12,811,328,866,374/5,191,138
  6. Step 6: Final answer
    x = 2,467,923

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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.