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Finding the Fourth Proportional to 7,071.60, 10,607.40 and 2,966.64

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Solution

The fourth proportional to 7,071.60, 10,607.40 and 2,966.64 is: 4,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.60 : 10,607.40 = 2,966.64 : x
  2. Step 2: Convert to fraction form
    7,071.60/10,607.40 = 2,966.64/x
  3. Step 3: Cross multiply
    7,071.60x = 10,607.40 × 2,966.64
  4. Step 4: Simplify right side
    7,071.60x = 31,468,337.14
  5. Step 5: Solve for x
    x = 31,468,337.14/7,071.60
  6. Step 6: Final answer
    x = 4,449.96

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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.