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Finding the Fourth Proportional to 11,757.16, 16,218.18 and 7,038.76

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Solution

The fourth proportional to 11,757.16, 16,218.18 and 7,038.76 is: 9,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.16 : 16,218.18 = 7,038.76 : x
  2. Step 2: Convert to fraction form
    11,757.16/16,218.18 = 7,038.76/x
  3. Step 3: Cross multiply
    11,757.16x = 16,218.18 × 7,038.76
  4. Step 4: Simplify right side
    11,757.16x = 114,155,876.66
  5. Step 5: Solve for x
    x = 114,155,876.66/11,757.16
  6. Step 6: Final answer
    x = 9,709.48

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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.