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Finding the Fourth Proportional to 12,896.48, 19,335 and 6,649.76

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Solution

The fourth proportional to 12,896.48, 19,335 and 6,649.76 is: 9,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.48 : 19,335 = 6,649.76 : x
  2. Step 2: Convert to fraction form
    12,896.48/19,335 = 6,649.76/x
  3. Step 3: Cross multiply
    12,896.48x = 19,335 × 6,649.76
  4. Step 4: Simplify right side
    12,896.48x = 128,573,109.60
  5. Step 5: Solve for x
    x = 128,573,109.60/12,896.48
  6. Step 6: Final answer
    x = 9,969.63

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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.