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Finding the Fourth Proportional to 53.89, 74.45 and 51.19

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Solution

The fourth proportional to 53.89, 74.45 and 51.19 is: 70.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.89 : 74.45 = 51.19 : x
  2. Step 2: Convert to fraction form
    53.89/74.45 = 51.19/x
  3. Step 3: Cross multiply
    53.89x = 74.45 × 51.19
  4. Step 4: Simplify right side
    53.89x = 3,810.84
  5. Step 5: Solve for x
    x = 3,810.84/53.89
  6. Step 6: Final answer
    x = 70.72

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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.