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Finding the Fourth Proportional to 11,244.96, 15,516 and 7,898

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Solution

The fourth proportional to 11,244.96, 15,516 and 7,898 is: 10,897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244.96 : 15,516 = 7,898 : x
  2. Step 2: Convert to fraction form
    11,244.96/15,516 = 7,898/x
  3. Step 3: Cross multiply
    11,244.96x = 15,516 × 7,898
  4. Step 4: Simplify right side
    11,244.96x = 122,545,368
  5. Step 5: Solve for x
    x = 122,545,368/11,244.96
  6. Step 6: Final answer
    x = 10,897.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.