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Finding the Fourth Proportional to 1,855.80, 2,783.70 and 1,624.95

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Solution

The fourth proportional to 1,855.80, 2,783.70 and 1,624.95 is: 2,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.80 : 2,783.70 = 1,624.95 : x
  2. Step 2: Convert to fraction form
    1,855.80/2,783.70 = 1,624.95/x
  3. Step 3: Cross multiply
    1,855.80x = 2,783.70 × 1,624.95
  4. Step 4: Simplify right side
    1,855.80x = 4,523,373.32
  5. Step 5: Solve for x
    x = 4,523,373.32/1,855.80
  6. Step 6: Final answer
    x = 2,437.43

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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.