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Finding the Fourth Proportional to 7,906.30, 10,905.72 and 5,070.70

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Solution

The fourth proportional to 7,906.30, 10,905.72 and 5,070.70 is: 6,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.30 : 10,905.72 = 5,070.70 : x
  2. Step 2: Convert to fraction form
    7,906.30/10,905.72 = 5,070.70/x
  3. Step 3: Cross multiply
    7,906.30x = 10,905.72 × 5,070.70
  4. Step 4: Simplify right side
    7,906.30x = 55,299,634.40
  5. Step 5: Solve for x
    x = 55,299,634.40/7,906.30
  6. Step 6: Final answer
    x = 6,994.38

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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.