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Finding the Fourth Proportional to 14,659.48, 21,978.78 and 6,864.04

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Solution

The fourth proportional to 14,659.48, 21,978.78 and 6,864.04 is: 10,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.48 : 21,978.78 = 6,864.04 : x
  2. Step 2: Convert to fraction form
    14,659.48/21,978.78 = 6,864.04/x
  3. Step 3: Cross multiply
    14,659.48x = 21,978.78 × 6,864.04
  4. Step 4: Simplify right side
    14,659.48x = 150,863,225.07
  5. Step 5: Solve for x
    x = 150,863,225.07/14,659.48
  6. Step 6: Final answer
    x = 10,291.17

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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.