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Finding the Fourth Proportional to 7,224.35, 9,966.65 and 5,726.25

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Solution

The fourth proportional to 7,224.35, 9,966.65 and 5,726.25 is: 7,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.35 : 9,966.65 = 5,726.25 : x
  2. Step 2: Convert to fraction form
    7,224.35/9,966.65 = 5,726.25/x
  3. Step 3: Cross multiply
    7,224.35x = 9,966.65 × 5,726.25
  4. Step 4: Simplify right side
    7,224.35x = 57,071,500.93
  5. Step 5: Solve for x
    x = 57,071,500.93/7,224.35
  6. Step 6: Final answer
    x = 7,899.89

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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.