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Finding the Fourth Proportional to 7,211.48, 9,949.10 and 4,695.75

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Solution

The fourth proportional to 7,211.48, 9,949.10 and 4,695.75 is: 6,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.48 : 9,949.10 = 4,695.75 : x
  2. Step 2: Convert to fraction form
    7,211.48/9,949.10 = 4,695.75/x
  3. Step 3: Cross multiply
    7,211.48x = 9,949.10 × 4,695.75
  4. Step 4: Simplify right side
    7,211.48x = 46,718,474.48
  5. Step 5: Solve for x
    x = 46,718,474.48/7,211.48
  6. Step 6: Final answer
    x = 6,478.35

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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.