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Finding the Fourth Proportional to 7,737.60, 11,606.40 and 6,867.20

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Solution

The fourth proportional to 7,737.60, 11,606.40 and 6,867.20 is: 10,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.60 : 11,606.40 = 6,867.20 : x
  2. Step 2: Convert to fraction form
    7,737.60/11,606.40 = 6,867.20/x
  3. Step 3: Cross multiply
    7,737.60x = 11,606.40 × 6,867.20
  4. Step 4: Simplify right side
    7,737.60x = 79,703,470.08
  5. Step 5: Solve for x
    x = 79,703,470.08/7,737.60
  6. Step 6: Final answer
    x = 10,300.80

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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.