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Finding the Fourth Proportional to 13,253.61, 19,869.99 and 4,929.09

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Solution

The fourth proportional to 13,253.61, 19,869.99 and 4,929.09 is: 7,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.61 : 19,869.99 = 4,929.09 : x
  2. Step 2: Convert to fraction form
    13,253.61/19,869.99 = 4,929.09/x
  3. Step 3: Cross multiply
    13,253.61x = 19,869.99 × 4,929.09
  4. Step 4: Simplify right side
    13,253.61x = 97,940,903.74
  5. Step 5: Solve for x
    x = 97,940,903.74/13,253.61
  6. Step 6: Final answer
    x = 7,389.75

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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.