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Finding the Fourth Proportional to 8,402.16, 11,609.82 and 6,647.70

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Solution

The fourth proportional to 8,402.16, 11,609.82 and 6,647.70 is: 9,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.16 : 11,609.82 = 6,647.70 : x
  2. Step 2: Convert to fraction form
    8,402.16/11,609.82 = 6,647.70/x
  3. Step 3: Cross multiply
    8,402.16x = 11,609.82 × 6,647.70
  4. Step 4: Simplify right side
    8,402.16x = 77,178,600.41
  5. Step 5: Solve for x
    x = 77,178,600.41/8,402.16
  6. Step 6: Final answer
    x = 9,185.57

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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.