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Finding the Fourth Proportional to 14.64, 21.96 and 7.50

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Solution

The fourth proportional to 14.64, 21.96 and 7.50 is: 11.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.64 : 21.96 = 7.50 : x
  2. Step 2: Convert to fraction form
    14.64/21.96 = 7.50/x
  3. Step 3: Cross multiply
    14.64x = 21.96 × 7.50
  4. Step 4: Simplify right side
    14.64x = 164.70
  5. Step 5: Solve for x
    x = 164.70/14.64
  6. Step 6: Final answer
    x = 11.25

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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.