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Finding the Fourth Proportional to 1,989.18, 2,983.53 and 833.82

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Solution

The fourth proportional to 1,989.18, 2,983.53 and 833.82 is: 1,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.18 : 2,983.53 = 833.82 : x
  2. Step 2: Convert to fraction form
    1,989.18/2,983.53 = 833.82/x
  3. Step 3: Cross multiply
    1,989.18x = 2,983.53 × 833.82
  4. Step 4: Simplify right side
    1,989.18x = 2,487,726.98
  5. Step 5: Solve for x
    x = 2,487,726.98/1,989.18
  6. Step 6: Final answer
    x = 1,250.63

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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.