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Finding the Fourth Proportional to 7,331.40, 10,980.90 and 5,674.95

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Solution

The fourth proportional to 7,331.40, 10,980.90 and 5,674.95 is: 8,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.40 : 10,980.90 = 5,674.95 : x
  2. Step 2: Convert to fraction form
    7,331.40/10,980.90 = 5,674.95/x
  3. Step 3: Cross multiply
    7,331.40x = 10,980.90 × 5,674.95
  4. Step 4: Simplify right side
    7,331.40x = 62,316,058.46
  5. Step 5: Solve for x
    x = 62,316,058.46/7,331.40
  6. Step 6: Final answer
    x = 8,499.89

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