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Finding the Fourth Proportional to 3,415.43, 5,117.93 and 2,300.72

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Solution

The fourth proportional to 3,415.43, 5,117.93 and 2,300.72 is: 3,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.43 : 5,117.93 = 2,300.72 : x
  2. Step 2: Convert to fraction form
    3,415.43/5,117.93 = 2,300.72/x
  3. Step 3: Cross multiply
    3,415.43x = 5,117.93 × 2,300.72
  4. Step 4: Simplify right side
    3,415.43x = 11,774,923.91
  5. Step 5: Solve for x
    x = 11,774,923.91/3,415.43
  6. Step 6: Final answer
    x = 3,447.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.