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Finding the Fourth Proportional to 1,402.14, 1,934.84 and 812.75

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Solution

The fourth proportional to 1,402.14, 1,934.84 and 812.75 is: 1,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.14 : 1,934.84 = 812.75 : x
  2. Step 2: Convert to fraction form
    1,402.14/1,934.84 = 812.75/x
  3. Step 3: Cross multiply
    1,402.14x = 1,934.84 × 812.75
  4. Step 4: Simplify right side
    1,402.14x = 1,572,541.21
  5. Step 5: Solve for x
    x = 1,572,541.21/1,402.14
  6. Step 6: Final answer
    x = 1,121.53

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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.