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Finding the Fourth Proportional to 14,978.40, 22,448.70 and 7,584.90

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Solution

The fourth proportional to 14,978.40, 22,448.70 and 7,584.90 is: 11,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.40 : 22,448.70 = 7,584.90 : x
  2. Step 2: Convert to fraction form
    14,978.40/22,448.70 = 7,584.90/x
  3. Step 3: Cross multiply
    14,978.40x = 22,448.70 × 7,584.90
  4. Step 4: Simplify right side
    14,978.40x = 170,271,144.63
  5. Step 5: Solve for x
    x = 170,271,144.63/14,978.40
  6. Step 6: Final answer
    x = 11,367.78

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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.