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Finding the Fourth Proportional to 2,130.71, 2,934.03 and 2,082.19

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Solution

The fourth proportional to 2,130.71, 2,934.03 and 2,082.19 is: 2,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.71 : 2,934.03 = 2,082.19 : x
  2. Step 2: Convert to fraction form
    2,130.71/2,934.03 = 2,082.19/x
  3. Step 3: Cross multiply
    2,130.71x = 2,934.03 × 2,082.19
  4. Step 4: Simplify right side
    2,130.71x = 6,109,207.93
  5. Step 5: Solve for x
    x = 6,109,207.93/2,130.71
  6. Step 6: Final answer
    x = 2,867.22

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Double scale
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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.