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Finding the Fourth Proportional to 7,071.18, 9,763.11 and 4,419.78

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Solution

The fourth proportional to 7,071.18, 9,763.11 and 4,419.78 is: 6,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.18 : 9,763.11 = 4,419.78 : x
  2. Step 2: Convert to fraction form
    7,071.18/9,763.11 = 4,419.78/x
  3. Step 3: Cross multiply
    7,071.18x = 9,763.11 × 4,419.78
  4. Step 4: Simplify right side
    7,071.18x = 43,150,798.32
  5. Step 5: Solve for x
    x = 43,150,798.32/7,071.18
  6. Step 6: Final answer
    x = 6,102.35

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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.