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Finding the Fourth Proportional to 8,496.74, 12,745.12 and 2,653.40

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Solution

The fourth proportional to 8,496.74, 12,745.12 and 2,653.40 is: 3,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.74 : 12,745.12 = 2,653.40 : x
  2. Step 2: Convert to fraction form
    8,496.74/12,745.12 = 2,653.40/x
  3. Step 3: Cross multiply
    8,496.74x = 12,745.12 × 2,653.40
  4. Step 4: Simplify right side
    8,496.74x = 33,817,901.41
  5. Step 5: Solve for x
    x = 33,817,901.41/8,496.74
  6. Step 6: Final answer
    x = 3,980.10

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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.