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Finding the Fourth Proportional to 2,909.34, 4,015.74 and 1,731.24

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Solution

The fourth proportional to 2,909.34, 4,015.74 and 1,731.24 is: 2,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.34 : 4,015.74 = 1,731.24 : x
  2. Step 2: Convert to fraction form
    2,909.34/4,015.74 = 1,731.24/x
  3. Step 3: Cross multiply
    2,909.34x = 4,015.74 × 1,731.24
  4. Step 4: Simplify right side
    2,909.34x = 6,952,209.72
  5. Step 5: Solve for x
    x = 6,952,209.72/2,909.34
  6. Step 6: Final answer
    x = 2,389.62

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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.