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Finding the Fourth Proportional to 2,605, 3,594.90 and 1,722.28

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Solution

The fourth proportional to 2,605, 3,594.90 and 1,722.28 is: 2,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605 : 3,594.90 = 1,722.28 : x
  2. Step 2: Convert to fraction form
    2,605/3,594.90 = 1,722.28/x
  3. Step 3: Cross multiply
    2,605x = 3,594.90 × 1,722.28
  4. Step 4: Simplify right side
    2,605x = 6,191,424.37
  5. Step 5: Solve for x
    x = 6,191,424.37/2,605
  6. Step 6: Final answer
    x = 2,376.75

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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.