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Finding the Fourth Proportional to 9,476.50, 13,077.40 and 5,227.98

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Solution

The fourth proportional to 9,476.50, 13,077.40 and 5,227.98 is: 7,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.50 : 13,077.40 = 5,227.98 : x
  2. Step 2: Convert to fraction form
    9,476.50/13,077.40 = 5,227.98/x
  3. Step 3: Cross multiply
    9,476.50x = 13,077.40 × 5,227.98
  4. Step 4: Simplify right side
    9,476.50x = 68,368,385.65
  5. Step 5: Solve for x
    x = 68,368,385.65/9,476.50
  6. Step 6: Final answer
    x = 7,214.52

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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.