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Finding the Fourth Proportional to 8,470.05, 11,692.80 and 5,639.10

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Solution

The fourth proportional to 8,470.05, 11,692.80 and 5,639.10 is: 7,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.05 : 11,692.80 = 5,639.10 : x
  2. Step 2: Convert to fraction form
    8,470.05/11,692.80 = 5,639.10/x
  3. Step 3: Cross multiply
    8,470.05x = 11,692.80 × 5,639.10
  4. Step 4: Simplify right side
    8,470.05x = 65,936,868.48
  5. Step 5: Solve for x
    x = 65,936,868.48/8,470.05
  6. Step 6: Final answer
    x = 7,784.71

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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.