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Finding the Fourth Proportional to 6,459.32, 9,667.38 and 5,678.84

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Solution

The fourth proportional to 6,459.32, 9,667.38 and 5,678.84 is: 8,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.32 : 9,667.38 = 5,678.84 : x
  2. Step 2: Convert to fraction form
    6,459.32/9,667.38 = 5,678.84/x
  3. Step 3: Cross multiply
    6,459.32x = 9,667.38 × 5,678.84
  4. Step 4: Simplify right side
    6,459.32x = 54,899,504.24
  5. Step 5: Solve for x
    x = 54,899,504.24/6,459.32
  6. Step 6: Final answer
    x = 8,499.27

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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.