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Finding the Fourth Proportional to 9,257.24, 12,774.98 and 5,278.36

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Solution

The fourth proportional to 9,257.24, 12,774.98 and 5,278.36 is: 7,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.24 : 12,774.98 = 5,278.36 : x
  2. Step 2: Convert to fraction form
    9,257.24/12,774.98 = 5,278.36/x
  3. Step 3: Cross multiply
    9,257.24x = 12,774.98 × 5,278.36
  4. Step 4: Simplify right side
    9,257.24x = 67,430,943.43
  5. Step 5: Solve for x
    x = 67,430,943.43/9,257.24
  6. Step 6: Final answer
    x = 7,284.13

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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.