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Finding the Fourth Proportional to 17,904.24, 26,856.54 and 5,424.30

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Solution

The fourth proportional to 17,904.24, 26,856.54 and 5,424.30 is: 8,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904.24 : 26,856.54 = 5,424.30 : x
  2. Step 2: Convert to fraction form
    17,904.24/26,856.54 = 5,424.30/x
  3. Step 3: Cross multiply
    17,904.24x = 26,856.54 × 5,424.30
  4. Step 4: Simplify right side
    17,904.24x = 145,677,929.92
  5. Step 5: Solve for x
    x = 145,677,929.92/17,904.24
  6. Step 6: Final answer
    x = 8,136.50

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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.