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Finding the Fourth Proportional to 6,942.40, 10,352.64 and 6,403.84

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Solution

The fourth proportional to 6,942.40, 10,352.64 and 6,403.84 is: 9,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.40 : 10,352.64 = 6,403.84 : x
  2. Step 2: Convert to fraction form
    6,942.40/10,352.64 = 6,403.84/x
  3. Step 3: Cross multiply
    6,942.40x = 10,352.64 × 6,403.84
  4. Step 4: Simplify right side
    6,942.40x = 66,296,650.14
  5. Step 5: Solve for x
    x = 66,296,650.14/6,942.40
  6. Step 6: Final answer
    x = 9,549.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.