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Finding the Fourth Proportional to 52.64, 78.53 and 48.76

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Solution

The fourth proportional to 52.64, 78.53 and 48.76 is: 72.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.64 : 78.53 = 48.76 : x
  2. Step 2: Convert to fraction form
    52.64/78.53 = 48.76/x
  3. Step 3: Cross multiply
    52.64x = 78.53 × 48.76
  4. Step 4: Simplify right side
    52.64x = 3,829.12
  5. Step 5: Solve for x
    x = 3,829.12/52.64
  6. Step 6: Final answer
    x = 72.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.