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Finding the Fourth Proportional to 2,600.65, 3,590.12 and 1,606.51

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Solution

The fourth proportional to 2,600.65, 3,590.12 and 1,606.51 is: 2,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.65 : 3,590.12 = 1,606.51 : x
  2. Step 2: Convert to fraction form
    2,600.65/3,590.12 = 1,606.51/x
  3. Step 3: Cross multiply
    2,600.65x = 3,590.12 × 1,606.51
  4. Step 4: Simplify right side
    2,600.65x = 5,767,572.19
  5. Step 5: Solve for x
    x = 5,767,572.19/2,600.65
  6. Step 6: Final answer
    x = 2,217.74

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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.