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Finding the Fourth Proportional to 2,913.43, 4,370.83 and 833.47

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Solution

The fourth proportional to 2,913.43, 4,370.83 and 833.47 is: 1,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.43 : 4,370.83 = 833.47 : x
  2. Step 2: Convert to fraction form
    2,913.43/4,370.83 = 833.47/x
  3. Step 3: Cross multiply
    2,913.43x = 4,370.83 × 833.47
  4. Step 4: Simplify right side
    2,913.43x = 3,642,955.68
  5. Step 5: Solve for x
    x = 3,642,955.68/2,913.43
  6. Step 6: Final answer
    x = 1,250.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.