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Finding the Fourth Proportional to 11,312.55, 16,974.49 and 5,077.02

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Solution

The fourth proportional to 11,312.55, 16,974.49 and 5,077.02 is: 7,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.55 : 16,974.49 = 5,077.02 : x
  2. Step 2: Convert to fraction form
    11,312.55/16,974.49 = 5,077.02/x
  3. Step 3: Cross multiply
    11,312.55x = 16,974.49 × 5,077.02
  4. Step 4: Simplify right side
    11,312.55x = 86,179,825.22
  5. Step 5: Solve for x
    x = 86,179,825.22/11,312.55
  6. Step 6: Final answer
    x = 7,618.07

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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.