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Finding the Fourth Proportional to 2,600.72, 3,589.07 and 1,715.86

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Solution

The fourth proportional to 2,600.72, 3,589.07 and 1,715.86 is: 2,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.72 : 3,589.07 = 1,715.86 : x
  2. Step 2: Convert to fraction form
    2,600.72/3,589.07 = 1,715.86/x
  3. Step 3: Cross multiply
    2,600.72x = 3,589.07 × 1,715.86
  4. Step 4: Simplify right side
    2,600.72x = 6,158,341.65
  5. Step 5: Solve for x
    x = 6,158,341.65/2,600.72
  6. Step 6: Final answer
    x = 2,367.94

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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.