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Finding the Fourth Proportional to 12,353.71, 17,048 and 6,688.31

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Solution

The fourth proportional to 12,353.71, 17,048 and 6,688.31 is: 9,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.71 : 17,048 = 6,688.31 : x
  2. Step 2: Convert to fraction form
    12,353.71/17,048 = 6,688.31/x
  3. Step 3: Cross multiply
    12,353.71x = 17,048 × 6,688.31
  4. Step 4: Simplify right side
    12,353.71x = 114,022,308.88
  5. Step 5: Solve for x
    x = 114,022,308.88/12,353.71
  6. Step 6: Final answer
    x = 9,229.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.