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Finding the Fourth Proportional to 10,498.36, 15,729.36 and 7,372.44

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Solution

The fourth proportional to 10,498.36, 15,729.36 and 7,372.44 is: 11,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.36 : 15,729.36 = 7,372.44 : x
  2. Step 2: Convert to fraction form
    10,498.36/15,729.36 = 7,372.44/x
  3. Step 3: Cross multiply
    10,498.36x = 15,729.36 × 7,372.44
  4. Step 4: Simplify right side
    10,498.36x = 115,963,762.84
  5. Step 5: Solve for x
    x = 115,963,762.84/10,498.36
  6. Step 6: Final answer
    x = 11,045.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.