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Finding the Fourth Proportional to 15,029.76, 22,544.64 and 6,816

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Solution

The fourth proportional to 15,029.76, 22,544.64 and 6,816 is: 10,224

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,029.76 : 22,544.64 = 6,816 : x
  2. Step 2: Convert to fraction form
    15,029.76/22,544.64 = 6,816/x
  3. Step 3: Cross multiply
    15,029.76x = 22,544.64 × 6,816
  4. Step 4: Simplify right side
    15,029.76x = 153,664,266.24
  5. Step 5: Solve for x
    x = 153,664,266.24/15,029.76
  6. Step 6: Final answer
    x = 10,224

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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.