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Finding the Fourth Proportional to 1,783.88, 2,658.04 and 1,589.90

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Solution

The fourth proportional to 1,783.88, 2,658.04 and 1,589.90 is: 2,369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.88 : 2,658.04 = 1,589.90 : x
  2. Step 2: Convert to fraction form
    1,783.88/2,658.04 = 1,589.90/x
  3. Step 3: Cross multiply
    1,783.88x = 2,658.04 × 1,589.90
  4. Step 4: Simplify right side
    1,783.88x = 4,226,017.80
  5. Step 5: Solve for x
    x = 4,226,017.80/1,783.88
  6. Step 6: Final answer
    x = 2,369.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.