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Finding the Fourth Proportional to 7,071.68, 9,756 and 4,277.60

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Solution

The fourth proportional to 7,071.68, 9,756 and 4,277.60 is: 5,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.68 : 9,756 = 4,277.60 : x
  2. Step 2: Convert to fraction form
    7,071.68/9,756 = 4,277.60/x
  3. Step 3: Cross multiply
    7,071.68x = 9,756 × 4,277.60
  4. Step 4: Simplify right side
    7,071.68x = 41,732,265.60
  5. Step 5: Solve for x
    x = 41,732,265.60/7,071.68
  6. Step 6: Final answer
    x = 5,901.32

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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.