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Finding the Fourth Proportional to 35, 52.50 and 19.77

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Solution

The fourth proportional to 35, 52.50 and 19.77 is: 29.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35 : 52.50 = 19.77 : x
  2. Step 2: Convert to fraction form
    35/52.50 = 19.77/x
  3. Step 3: Cross multiply
    35x = 52.50 × 19.77
  4. Step 4: Simplify right side
    35x = 1,037.93
  5. Step 5: Solve for x
    x = 1,037.93/35
  6. Step 6: Final answer
    x = 29.66

Related Problems

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Double scale
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Similar ratio
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1.5x scale

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.