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Finding the Fourth Proportional to 7,003.70, 9,665.98 and 4,020.47

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Solution

The fourth proportional to 7,003.70, 9,665.98 and 4,020.47 is: 5,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.70 : 9,665.98 = 4,020.47 : x
  2. Step 2: Convert to fraction form
    7,003.70/9,665.98 = 4,020.47/x
  3. Step 3: Cross multiply
    7,003.70x = 9,665.98 × 4,020.47
  4. Step 4: Simplify right side
    7,003.70x = 38,861,783.09
  5. Step 5: Solve for x
    x = 38,861,783.09/7,003.70
  6. Step 6: Final answer
    x = 5,548.75

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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.