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Finding the Fourth Proportional to 7,734.57, 10,678.14 and 5,379.90

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Solution

The fourth proportional to 7,734.57, 10,678.14 and 5,379.90 is: 7,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.57 : 10,678.14 = 5,379.90 : x
  2. Step 2: Convert to fraction form
    7,734.57/10,678.14 = 5,379.90/x
  3. Step 3: Cross multiply
    7,734.57x = 10,678.14 × 5,379.90
  4. Step 4: Simplify right side
    7,734.57x = 57,447,325.39
  5. Step 5: Solve for x
    x = 57,447,325.39/7,734.57
  6. Step 6: Final answer
    x = 7,427.35

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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.