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Finding the Fourth Proportional to 9.88, 14.94 and 9.77

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Solution

The fourth proportional to 9.88, 14.94 and 9.77 is: 14.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.88 : 14.94 = 9.77 : x
  2. Step 2: Convert to fraction form
    9.88/14.94 = 9.77/x
  3. Step 3: Cross multiply
    9.88x = 14.94 × 9.77
  4. Step 4: Simplify right side
    9.88x = 145.89
  5. Step 5: Solve for x
    x = 145.89/9.88
  6. Step 6: Final answer
    x = 14.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.