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Finding the Fourth Proportional to 12,735, 19,090.98 and 6,491.52

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Solution

The fourth proportional to 12,735, 19,090.98 and 6,491.52 is: 9,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735 : 19,090.98 = 6,491.52 : x
  2. Step 2: Convert to fraction form
    12,735/19,090.98 = 6,491.52/x
  3. Step 3: Cross multiply
    12,735x = 19,090.98 × 6,491.52
  4. Step 4: Simplify right side
    12,735x = 123,929,478.49
  5. Step 5: Solve for x
    x = 123,929,478.49/12,735
  6. Step 6: Final answer
    x = 9,731.41

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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.