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Finding the Fourth Proportional to 7,727.08, 10,737.32 and 7,646.80

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Solution

The fourth proportional to 7,727.08, 10,737.32 and 7,646.80 is: 10,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.08 : 10,737.32 = 7,646.80 : x
  2. Step 2: Convert to fraction form
    7,727.08/10,737.32 = 7,646.80/x
  3. Step 3: Cross multiply
    7,727.08x = 10,737.32 × 7,646.80
  4. Step 4: Simplify right side
    7,727.08x = 82,106,138.58
  5. Step 5: Solve for x
    x = 82,106,138.58/7,727.08
  6. Step 6: Final answer
    x = 10,625.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.