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Finding the Fourth Proportional to 3,502.91, 5,256.99 and 2,389.70

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Solution

The fourth proportional to 3,502.91, 5,256.99 and 2,389.70 is: 3,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.91 : 5,256.99 = 2,389.70 : x
  2. Step 2: Convert to fraction form
    3,502.91/5,256.99 = 2,389.70/x
  3. Step 3: Cross multiply
    3,502.91x = 5,256.99 × 2,389.70
  4. Step 4: Simplify right side
    3,502.91x = 12,562,602.72
  5. Step 5: Solve for x
    x = 12,562,602.72/3,502.91
  6. Step 6: Final answer
    x = 3,586.34

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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.