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Finding the Fourth Proportional to 7,106.94, 9,806.45 and 3,963.15

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Solution

The fourth proportional to 7,106.94, 9,806.45 and 3,963.15 is: 5,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.94 : 9,806.45 = 3,963.15 : x
  2. Step 2: Convert to fraction form
    7,106.94/9,806.45 = 3,963.15/x
  3. Step 3: Cross multiply
    7,106.94x = 9,806.45 × 3,963.15
  4. Step 4: Simplify right side
    7,106.94x = 38,864,412.50
  5. Step 5: Solve for x
    x = 38,864,412.50/7,106.94
  6. Step 6: Final answer
    x = 5,468.52

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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.