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Finding the Fourth Proportional to 14,456.96, 21,678.06 and 6,659

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Solution

The fourth proportional to 14,456.96, 21,678.06 and 6,659 is: 9,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.96 : 21,678.06 = 6,659 : x
  2. Step 2: Convert to fraction form
    14,456.96/21,678.06 = 6,659/x
  3. Step 3: Cross multiply
    14,456.96x = 21,678.06 × 6,659
  4. Step 4: Simplify right side
    14,456.96x = 144,354,201.54
  5. Step 5: Solve for x
    x = 144,354,201.54/14,456.96
  6. Step 6: Final answer
    x = 9,985.10

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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.