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Finding the Fourth Proportional to 7,229.40, 10,838.70 and 3,946.20

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Solution

The fourth proportional to 7,229.40, 10,838.70 and 3,946.20 is: 5,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.40 : 10,838.70 = 3,946.20 : x
  2. Step 2: Convert to fraction form
    7,229.40/10,838.70 = 3,946.20/x
  3. Step 3: Cross multiply
    7,229.40x = 10,838.70 × 3,946.20
  4. Step 4: Simplify right side
    7,229.40x = 42,771,677.94
  5. Step 5: Solve for x
    x = 42,771,677.94/7,229.40
  6. Step 6: Final answer
    x = 5,916.35

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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.