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Finding the Fourth Proportional to 10.51, 15.68 and 9.53

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Solution

The fourth proportional to 10.51, 15.68 and 9.53 is: 14.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.51 : 15.68 = 9.53 : x
  2. Step 2: Convert to fraction form
    10.51/15.68 = 9.53/x
  3. Step 3: Cross multiply
    10.51x = 15.68 × 9.53
  4. Step 4: Simplify right side
    10.51x = 149.32
  5. Step 5: Solve for x
    x = 149.32/10.51
  6. Step 6: Final answer
    x = 14.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.