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Finding the Fourth Proportional to 10.57, 15.75 and 9.84

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Solution

The fourth proportional to 10.57, 15.75 and 9.84 is: 14.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.57 : 15.75 = 9.84 : x
  2. Step 2: Convert to fraction form
    10.57/15.75 = 9.84/x
  3. Step 3: Cross multiply
    10.57x = 15.75 × 9.84
  4. Step 4: Simplify right side
    10.57x = 155.04
  5. Step 5: Solve for x
    x = 155.04/10.57
  6. Step 6: Final answer
    x = 14.68

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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.