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Finding the Fourth Proportional to 7,737.78, 10,674.24 and 5,216.70

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Solution

The fourth proportional to 7,737.78, 10,674.24 and 5,216.70 is: 7,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.78 : 10,674.24 = 5,216.70 : x
  2. Step 2: Convert to fraction form
    7,737.78/10,674.24 = 5,216.70/x
  3. Step 3: Cross multiply
    7,737.78x = 10,674.24 × 5,216.70
  4. Step 4: Simplify right side
    7,737.78x = 55,684,307.81
  5. Step 5: Solve for x
    x = 55,684,307.81/7,737.78
  6. Step 6: Final answer
    x = 7,196.42

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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.