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Finding the Fourth Proportional to 9,391.70, 12,959.19 and 5,199.94

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Solution

The fourth proportional to 9,391.70, 12,959.19 and 5,199.94 is: 7,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.70 : 12,959.19 = 5,199.94 : x
  2. Step 2: Convert to fraction form
    9,391.70/12,959.19 = 5,199.94/x
  3. Step 3: Cross multiply
    9,391.70x = 12,959.19 × 5,199.94
  4. Step 4: Simplify right side
    9,391.70x = 67,387,010.45
  5. Step 5: Solve for x
    x = 67,387,010.45/9,391.70
  6. Step 6: Final answer
    x = 7,175.17

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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.