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Finding the Fourth Proportional to 14,384.32, 21,576.64 and 6,483.84

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Solution

The fourth proportional to 14,384.32, 21,576.64 and 6,483.84 is: 9,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.32 : 21,576.64 = 6,483.84 : x
  2. Step 2: Convert to fraction form
    14,384.32/21,576.64 = 6,483.84/x
  3. Step 3: Cross multiply
    14,384.32x = 21,576.64 × 6,483.84
  4. Step 4: Simplify right side
    14,384.32x = 139,899,481.50
  5. Step 5: Solve for x
    x = 139,899,481.50/14,384.32
  6. Step 6: Final answer
    x = 9,725.83

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1.5x scale

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.