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Finding the Fourth Proportional to 5,051.79, 6,974.37 and 3,378.74

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Solution

The fourth proportional to 5,051.79, 6,974.37 and 3,378.74 is: 4,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.79 : 6,974.37 = 3,378.74 : x
  2. Step 2: Convert to fraction form
    5,051.79/6,974.37 = 3,378.74/x
  3. Step 3: Cross multiply
    5,051.79x = 6,974.37 × 3,378.74
  4. Step 4: Simplify right side
    5,051.79x = 23,564,548.02
  5. Step 5: Solve for x
    x = 23,564,548.02/5,051.79
  6. Step 6: Final answer
    x = 4,664.59

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1.5x scale

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.