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Finding the Fourth Proportional to 10.77, 14.88 and 9.13

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Solution

The fourth proportional to 10.77, 14.88 and 9.13 is: 12.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.77 : 14.88 = 9.13 : x
  2. Step 2: Convert to fraction form
    10.77/14.88 = 9.13/x
  3. Step 3: Cross multiply
    10.77x = 14.88 × 9.13
  4. Step 4: Simplify right side
    10.77x = 135.78
  5. Step 5: Solve for x
    x = 135.78/10.77
  6. Step 6: Final answer
    x = 12.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.