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Finding the Fourth Proportional to 62.70, 93.50 and 53.13

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Solution

The fourth proportional to 62.70, 93.50 and 53.13 is: 79.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.70 : 93.50 = 53.13 : x
  2. Step 2: Convert to fraction form
    62.70/93.50 = 53.13/x
  3. Step 3: Cross multiply
    62.70x = 93.50 × 53.13
  4. Step 4: Simplify right side
    62.70x = 4,967.39
  5. Step 5: Solve for x
    x = 4,967.39/62.70
  6. Step 6: Final answer
    x = 79.22

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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.