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Finding the Fourth Proportional to 56.48, 84.63 and 47.48

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Solution

The fourth proportional to 56.48, 84.63 and 47.48 is: 71.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.48 : 84.63 = 47.48 : x
  2. Step 2: Convert to fraction form
    56.48/84.63 = 47.48/x
  3. Step 3: Cross multiply
    56.48x = 84.63 × 47.48
  4. Step 4: Simplify right side
    56.48x = 4,018.23
  5. Step 5: Solve for x
    x = 4,018.23/56.48
  6. Step 6: Final answer
    x = 71.14

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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.