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Finding the Fourth Proportional to 7,040.48, 9,706.88 and 5,776.96

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Solution

The fourth proportional to 7,040.48, 9,706.88 and 5,776.96 is: 7,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.48 : 9,706.88 = 5,776.96 : x
  2. Step 2: Convert to fraction form
    7,040.48/9,706.88 = 5,776.96/x
  3. Step 3: Cross multiply
    7,040.48x = 9,706.88 × 5,776.96
  4. Step 4: Simplify right side
    7,040.48x = 56,076,257.48
  5. Step 5: Solve for x
    x = 56,076,257.48/7,040.48
  6. Step 6: Final answer
    x = 7,964.83

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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.