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Finding the Fourth Proportional to 10,397.57, 14,336.39 and 8,401.93

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Solution

The fourth proportional to 10,397.57, 14,336.39 and 8,401.93 is: 11,584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.57 : 14,336.39 = 8,401.93 : x
  2. Step 2: Convert to fraction form
    10,397.57/14,336.39 = 8,401.93/x
  3. Step 3: Cross multiply
    10,397.57x = 14,336.39 × 8,401.93
  4. Step 4: Simplify right side
    10,397.57x = 120,453,330.40
  5. Step 5: Solve for x
    x = 120,453,330.40/10,397.57
  6. Step 6: Final answer
    x = 11,584.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.