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Finding the Fourth Proportional to 56.46, 84.73 and 32.10

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Solution

The fourth proportional to 56.46, 84.73 and 32.10 is: 48.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.46 : 84.73 = 32.10 : x
  2. Step 2: Convert to fraction form
    56.46/84.73 = 32.10/x
  3. Step 3: Cross multiply
    56.46x = 84.73 × 32.10
  4. Step 4: Simplify right side
    56.46x = 2,720.14
  5. Step 5: Solve for x
    x = 2,720.14/56.46
  6. Step 6: Final answer
    x = 48.18

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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.