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Finding the Fourth Proportional to 9.72, 14.54 and 8.40

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Solution

The fourth proportional to 9.72, 14.54 and 8.40 is: 12.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.72 : 14.54 = 8.40 : x
  2. Step 2: Convert to fraction form
    9.72/14.54 = 8.40/x
  3. Step 3: Cross multiply
    9.72x = 14.54 × 8.40
  4. Step 4: Simplify right side
    9.72x = 122.14
  5. Step 5: Solve for x
    x = 122.14/9.72
  6. Step 6: Final answer
    x = 12.57

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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.