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Finding the Fourth Proportional to 2,358.99, 3,256.17 and 2,109.87

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Solution

The fourth proportional to 2,358.99, 3,256.17 and 2,109.87 is: 2,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.99 : 3,256.17 = 2,109.87 : x
  2. Step 2: Convert to fraction form
    2,358.99/3,256.17 = 2,109.87/x
  3. Step 3: Cross multiply
    2,358.99x = 3,256.17 × 2,109.87
  4. Step 4: Simplify right side
    2,358.99x = 6,870,095.40
  5. Step 5: Solve for x
    x = 6,870,095.40/2,358.99
  6. Step 6: Final answer
    x = 2,912.30

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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.