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Finding the Fourth Proportional to 2,122.83, 3,184.28 and 583.83

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Solution

The fourth proportional to 2,122.83, 3,184.28 and 583.83 is: 875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.83 : 3,184.28 = 583.83 : x
  2. Step 2: Convert to fraction form
    2,122.83/3,184.28 = 583.83/x
  3. Step 3: Cross multiply
    2,122.83x = 3,184.28 × 583.83
  4. Step 4: Simplify right side
    2,122.83x = 1,859,075.27
  5. Step 5: Solve for x
    x = 1,859,075.27/2,122.83
  6. Step 6: Final answer
    x = 875.75

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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.