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Finding the Fourth Proportional to 3,389.87, 4,669.64 and 2,894.15

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Solution

The fourth proportional to 3,389.87, 4,669.64 and 2,894.15 is: 3,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.87 : 4,669.64 = 2,894.15 : x
  2. Step 2: Convert to fraction form
    3,389.87/4,669.64 = 2,894.15/x
  3. Step 3: Cross multiply
    3,389.87x = 4,669.64 × 2,894.15
  4. Step 4: Simplify right side
    3,389.87x = 13,514,638.61
  5. Step 5: Solve for x
    x = 13,514,638.61/3,389.87
  6. Step 6: Final answer
    x = 3,986.77

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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.