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Finding the Fourth Proportional to 1,402.13, 1,934.46 and 812.45

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Solution

The fourth proportional to 1,402.13, 1,934.46 and 812.45 is: 1,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.13 : 1,934.46 = 812.45 : x
  2. Step 2: Convert to fraction form
    1,402.13/1,934.46 = 812.45/x
  3. Step 3: Cross multiply
    1,402.13x = 1,934.46 × 812.45
  4. Step 4: Simplify right side
    1,402.13x = 1,571,642.35
  5. Step 5: Solve for x
    x = 1,571,642.35/1,402.13
  6. Step 6: Final answer
    x = 1,120.90

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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.