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Finding the Fourth Proportional to 7,106.22, 9,807.06 and 3,962.40

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Solution

The fourth proportional to 7,106.22, 9,807.06 and 3,962.40 is: 5,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.22 : 9,807.06 = 3,962.40 : x
  2. Step 2: Convert to fraction form
    7,106.22/9,807.06 = 3,962.40/x
  3. Step 3: Cross multiply
    7,106.22x = 9,807.06 × 3,962.40
  4. Step 4: Simplify right side
    7,106.22x = 38,859,494.54
  5. Step 5: Solve for x
    x = 38,859,494.54/7,106.22
  6. Step 6: Final answer
    x = 5,468.38

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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.