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Finding the Fourth Proportional to 9,809.70, 14,715.45 and 3,965.10

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Solution

The fourth proportional to 9,809.70, 14,715.45 and 3,965.10 is: 5,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.70 : 14,715.45 = 3,965.10 : x
  2. Step 2: Convert to fraction form
    9,809.70/14,715.45 = 3,965.10/x
  3. Step 3: Cross multiply
    9,809.70x = 14,715.45 × 3,965.10
  4. Step 4: Simplify right side
    9,809.70x = 58,348,230.80
  5. Step 5: Solve for x
    x = 58,348,230.80/9,809.70
  6. Step 6: Final answer
    x = 5,948.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.