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Finding the Fourth Proportional to 7,901.78, 10,906.74 and 4,674.58

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Solution

The fourth proportional to 7,901.78, 10,906.74 and 4,674.58 is: 6,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.78 : 10,906.74 = 4,674.58 : x
  2. Step 2: Convert to fraction form
    7,901.78/10,906.74 = 4,674.58/x
  3. Step 3: Cross multiply
    7,901.78x = 10,906.74 × 4,674.58
  4. Step 4: Simplify right side
    7,901.78x = 50,984,428.67
  5. Step 5: Solve for x
    x = 50,984,428.67/7,901.78
  6. Step 6: Final answer
    x = 6,452.27

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1.5x scale

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.