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Finding the Fourth Proportional to 56.51, 78.03 and 39.02

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Solution

The fourth proportional to 56.51, 78.03 and 39.02 is: 53.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.51 : 78.03 = 39.02 : x
  2. Step 2: Convert to fraction form
    56.51/78.03 = 39.02/x
  3. Step 3: Cross multiply
    56.51x = 78.03 × 39.02
  4. Step 4: Simplify right side
    56.51x = 3,044.73
  5. Step 5: Solve for x
    x = 3,044.73/56.51
  6. Step 6: Final answer
    x = 53.88

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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.