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Finding the Fourth Proportional to 6,938.84, 10,412.32 and 2,780.84

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Solution

The fourth proportional to 6,938.84, 10,412.32 and 2,780.84 is: 4,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.84 : 10,412.32 = 2,780.84 : x
  2. Step 2: Convert to fraction form
    6,938.84/10,412.32 = 2,780.84/x
  3. Step 3: Cross multiply
    6,938.84x = 10,412.32 × 2,780.84
  4. Step 4: Simplify right side
    6,938.84x = 28,954,995.95
  5. Step 5: Solve for x
    x = 28,954,995.95/6,938.84
  6. Step 6: Final answer
    x = 4,172.89

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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.