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Finding the Fourth Proportional to 16,384.64, 24,516.48 and 9,815.36

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Solution

The fourth proportional to 16,384.64, 24,516.48 and 9,815.36 is: 14,686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.64 : 24,516.48 = 9,815.36 : x
  2. Step 2: Convert to fraction form
    16,384.64/24,516.48 = 9,815.36/x
  3. Step 3: Cross multiply
    16,384.64x = 24,516.48 × 9,815.36
  4. Step 4: Simplify right side
    16,384.64x = 240,638,077.13
  5. Step 5: Solve for x
    x = 240,638,077.13/16,384.64
  6. Step 6: Final answer
    x = 14,686.81

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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.