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Finding the Fourth Proportional to 3,953.61, 5,916.65 and 2,392.74

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Solution

The fourth proportional to 3,953.61, 5,916.65 and 2,392.74 is: 3,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.61 : 5,916.65 = 2,392.74 : x
  2. Step 2: Convert to fraction form
    3,953.61/5,916.65 = 2,392.74/x
  3. Step 3: Cross multiply
    3,953.61x = 5,916.65 × 2,392.74
  4. Step 4: Simplify right side
    3,953.61x = 14,156,993.16
  5. Step 5: Solve for x
    x = 14,156,993.16/3,953.61
  6. Step 6: Final answer
    x = 3,580.78

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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.