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Finding the Fourth Proportional to 10,290.50, 14,200.89 and 5,574.79

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Solution

The fourth proportional to 10,290.50, 14,200.89 and 5,574.79 is: 7,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.50 : 14,200.89 = 5,574.79 : x
  2. Step 2: Convert to fraction form
    10,290.50/14,200.89 = 5,574.79/x
  3. Step 3: Cross multiply
    10,290.50x = 14,200.89 × 5,574.79
  4. Step 4: Simplify right side
    10,290.50x = 79,166,979.56
  5. Step 5: Solve for x
    x = 79,166,979.56/10,290.50
  6. Step 6: Final answer
    x = 7,693.21

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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.