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Finding the Fourth Proportional to 7,259.80, 10,020.78 and 5,770.36

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Solution

The fourth proportional to 7,259.80, 10,020.78 and 5,770.36 is: 7,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.80 : 10,020.78 = 5,770.36 : x
  2. Step 2: Convert to fraction form
    7,259.80/10,020.78 = 5,770.36/x
  3. Step 3: Cross multiply
    7,259.80x = 10,020.78 × 5,770.36
  4. Step 4: Simplify right side
    7,259.80x = 57,823,508.08
  5. Step 5: Solve for x
    x = 57,823,508.08/7,259.80
  6. Step 6: Final answer
    x = 7,964.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.