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Finding the Fourth Proportional to 7,808.40, 11,712.60 and 5,630.94

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Solution

The fourth proportional to 7,808.40, 11,712.60 and 5,630.94 is: 8,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.40 : 11,712.60 = 5,630.94 : x
  2. Step 2: Convert to fraction form
    7,808.40/11,712.60 = 5,630.94/x
  3. Step 3: Cross multiply
    7,808.40x = 11,712.60 × 5,630.94
  4. Step 4: Simplify right side
    7,808.40x = 65,952,947.84
  5. Step 5: Solve for x
    x = 65,952,947.84/7,808.40
  6. Step 6: Final answer
    x = 8,446.41

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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.