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Finding the Fourth Proportional to 6,438.34, 9,631.86 and 5,392.23

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Solution

The fourth proportional to 6,438.34, 9,631.86 and 5,392.23 is: 8,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.34 : 9,631.86 = 5,392.23 : x
  2. Step 2: Convert to fraction form
    6,438.34/9,631.86 = 5,392.23/x
  3. Step 3: Cross multiply
    6,438.34x = 9,631.86 × 5,392.23
  4. Step 4: Simplify right side
    6,438.34x = 51,937,204.45
  5. Step 5: Solve for x
    x = 51,937,204.45/6,438.34
  6. Step 6: Final answer
    x = 8,066.86

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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.