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Finding the Fourth Proportional to 7,106.64, 9,807.24 and 3,962.88

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Solution

The fourth proportional to 7,106.64, 9,807.24 and 3,962.88 is: 5,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.64 : 9,807.24 = 3,962.88 : x
  2. Step 2: Convert to fraction form
    7,106.64/9,807.24 = 3,962.88/x
  3. Step 3: Cross multiply
    7,106.64x = 9,807.24 × 3,962.88
  4. Step 4: Simplify right side
    7,106.64x = 38,864,915.25
  5. Step 5: Solve for x
    x = 38,864,915.25/7,106.64
  6. Step 6: Final answer
    x = 5,468.82

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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.