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Finding the Fourth Proportional to 7,389.66, 11,072.16 and 5,194.46

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Solution

The fourth proportional to 7,389.66, 11,072.16 and 5,194.46 is: 7,783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.66 : 11,072.16 = 5,194.46 : x
  2. Step 2: Convert to fraction form
    7,389.66/11,072.16 = 5,194.46/x
  3. Step 3: Cross multiply
    7,389.66x = 11,072.16 × 5,194.46
  4. Step 4: Simplify right side
    7,389.66x = 57,513,919.91
  5. Step 5: Solve for x
    x = 57,513,919.91/7,389.66
  6. Step 6: Final answer
    x = 7,783.02

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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.