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Finding the Fourth Proportional to 53.98, 74.57 and 51.76

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Solution

The fourth proportional to 53.98, 74.57 and 51.76 is: 71.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.98 : 74.57 = 51.76 : x
  2. Step 2: Convert to fraction form
    53.98/74.57 = 51.76/x
  3. Step 3: Cross multiply
    53.98x = 74.57 × 51.76
  4. Step 4: Simplify right side
    53.98x = 3,859.74
  5. Step 5: Solve for x
    x = 3,859.74/53.98
  6. Step 6: Final answer
    x = 71.50

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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.