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Finding the Fourth Proportional to 11,496, 15,866.40 and 8,696.64

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Solution

The fourth proportional to 11,496, 15,866.40 and 8,696.64 is: 12,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496 : 15,866.40 = 8,696.64 : x
  2. Step 2: Convert to fraction form
    11,496/15,866.40 = 8,696.64/x
  3. Step 3: Cross multiply
    11,496x = 15,866.40 × 8,696.64
  4. Step 4: Simplify right side
    11,496x = 137,984,368.90
  5. Step 5: Solve for x
    x = 137,984,368.90/11,496
  6. Step 6: Final answer
    x = 12,002.82

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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.