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Finding the Fourth Proportional to 51.58, 71.07 and 37.00

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Solution

The fourth proportional to 51.58, 71.07 and 37.00 is: 50.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.58 : 71.07 = 37.00 : x
  2. Step 2: Convert to fraction form
    51.58/71.07 = 37.00/x
  3. Step 3: Cross multiply
    51.58x = 71.07 × 37.00
  4. Step 4: Simplify right side
    51.58x = 2,629.27
  5. Step 5: Solve for x
    x = 2,629.27/51.58
  6. Step 6: Final answer
    x = 50.98

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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.