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Finding the Fourth Proportional to 84.72, 127.08 and 56.40

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Solution

The fourth proportional to 84.72, 127.08 and 56.40 is: 84.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.72 : 127.08 = 56.40 : x
  2. Step 2: Convert to fraction form
    84.72/127.08 = 56.40/x
  3. Step 3: Cross multiply
    84.72x = 127.08 × 56.40
  4. Step 4: Simplify right side
    84.72x = 7,167.31
  5. Step 5: Solve for x
    x = 7,167.31/84.72
  6. Step 6: Final answer
    x = 84.60

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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.