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Finding the Fourth Proportional to 1,807.14, 2,711.70 and 833.34

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Solution

The fourth proportional to 1,807.14, 2,711.70 and 833.34 is: 1,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.14 : 2,711.70 = 833.34 : x
  2. Step 2: Convert to fraction form
    1,807.14/2,711.70 = 833.34/x
  3. Step 3: Cross multiply
    1,807.14x = 2,711.70 × 833.34
  4. Step 4: Simplify right side
    1,807.14x = 2,259,768.08
  5. Step 5: Solve for x
    x = 2,259,768.08/1,807.14
  6. Step 6: Final answer
    x = 1,250.47

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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.