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Finding the Fourth Proportional to 7,106.67, 9,807.48 and 3,962.79

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Solution

The fourth proportional to 7,106.67, 9,807.48 and 3,962.79 is: 5,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.67 : 9,807.48 = 3,962.79 : x
  2. Step 2: Convert to fraction form
    7,106.67/9,807.48 = 3,962.79/x
  3. Step 3: Cross multiply
    7,106.67x = 9,807.48 × 3,962.79
  4. Step 4: Simplify right side
    7,106.67x = 38,864,983.67
  5. Step 5: Solve for x
    x = 38,864,983.67/7,106.67
  6. Step 6: Final answer
    x = 5,468.80

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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.