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Finding the Fourth Proportional to 7,003.50, 9,664.86 and 4,209.54

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Solution

The fourth proportional to 7,003.50, 9,664.86 and 4,209.54 is: 5,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.50 : 9,664.86 = 4,209.54 : x
  2. Step 2: Convert to fraction form
    7,003.50/9,664.86 = 4,209.54/x
  3. Step 3: Cross multiply
    7,003.50x = 9,664.86 × 4,209.54
  4. Step 4: Simplify right side
    7,003.50x = 40,684,614.76
  5. Step 5: Solve for x
    x = 40,684,614.76/7,003.50
  6. Step 6: Final answer
    x = 5,809.18

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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.