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Finding the Fourth Proportional to 5,151.48, 7,721.94 and 2,955.64

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Solution

The fourth proportional to 5,151.48, 7,721.94 and 2,955.64 is: 4,430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.48 : 7,721.94 = 2,955.64 : x
  2. Step 2: Convert to fraction form
    5,151.48/7,721.94 = 2,955.64/x
  3. Step 3: Cross multiply
    5,151.48x = 7,721.94 × 2,955.64
  4. Step 4: Simplify right side
    5,151.48x = 22,823,274.74
  5. Step 5: Solve for x
    x = 22,823,274.74/5,151.48
  6. Step 6: Final answer
    x = 4,430.43

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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.