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Finding the Fourth Proportional to 7,138.88, 10,706.40 and 1,943.52

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Solution

The fourth proportional to 7,138.88, 10,706.40 and 1,943.52 is: 2,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.88 : 10,706.40 = 1,943.52 : x
  2. Step 2: Convert to fraction form
    7,138.88/10,706.40 = 1,943.52/x
  3. Step 3: Cross multiply
    7,138.88x = 10,706.40 × 1,943.52
  4. Step 4: Simplify right side
    7,138.88x = 20,808,102.53
  5. Step 5: Solve for x
    x = 20,808,102.53/7,138.88
  6. Step 6: Final answer
    x = 2,914.76

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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.