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Finding the Fourth Proportional to 7,384.79, 11,077.22 and 1,838.13

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Solution

The fourth proportional to 7,384.79, 11,077.22 and 1,838.13 is: 2,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.79 : 11,077.22 = 1,838.13 : x
  2. Step 2: Convert to fraction form
    7,384.79/11,077.22 = 1,838.13/x
  3. Step 3: Cross multiply
    7,384.79x = 11,077.22 × 1,838.13
  4. Step 4: Simplify right side
    7,384.79x = 20,361,370.40
  5. Step 5: Solve for x
    x = 20,361,370.40/7,384.79
  6. Step 6: Final answer
    x = 2,757.20

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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.