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Finding the Fourth Proportional to 51.12, 70.52 and 38.02

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Solution

The fourth proportional to 51.12, 70.52 and 38.02 is: 52.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.12 : 70.52 = 38.02 : x
  2. Step 2: Convert to fraction form
    51.12/70.52 = 38.02/x
  3. Step 3: Cross multiply
    51.12x = 70.52 × 38.02
  4. Step 4: Simplify right side
    51.12x = 2,681.17
  5. Step 5: Solve for x
    x = 2,681.17/51.12
  6. Step 6: Final answer
    x = 52.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.