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Finding the Fourth Proportional to 7,071.47, 9,758.94 and 3,927.66

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Solution

The fourth proportional to 7,071.47, 9,758.94 and 3,927.66 is: 5,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.47 : 9,758.94 = 3,927.66 : x
  2. Step 2: Convert to fraction form
    7,071.47/9,758.94 = 3,927.66/x
  3. Step 3: Cross multiply
    7,071.47x = 9,758.94 × 3,927.66
  4. Step 4: Simplify right side
    7,071.47x = 38,329,746.96
  5. Step 5: Solve for x
    x = 38,329,746.96/7,071.47
  6. Step 6: Final answer
    x = 5,420.34

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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.