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Finding the Fourth Proportional to 11,349.45, 15,653.36 and 7,766.53

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Solution

The fourth proportional to 11,349.45, 15,653.36 and 7,766.53 is: 10,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.45 : 15,653.36 = 7,766.53 : x
  2. Step 2: Convert to fraction form
    11,349.45/15,653.36 = 7,766.53/x
  3. Step 3: Cross multiply
    11,349.45x = 15,653.36 × 7,766.53
  4. Step 4: Simplify right side
    11,349.45x = 121,572,270.32
  5. Step 5: Solve for x
    x = 121,572,270.32/11,349.45
  6. Step 6: Final answer
    x = 10,711.73

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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.