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Finding the Fourth Proportional to 1,856.40, 2,782.80 and 1,662

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Solution

The fourth proportional to 1,856.40, 2,782.80 and 1,662 is: 2,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.40 : 2,782.80 = 1,662 : x
  2. Step 2: Convert to fraction form
    1,856.40/2,782.80 = 1,662/x
  3. Step 3: Cross multiply
    1,856.40x = 2,782.80 × 1,662
  4. Step 4: Simplify right side
    1,856.40x = 4,625,013.60
  5. Step 5: Solve for x
    x = 4,625,013.60/1,856.40
  6. Step 6: Final answer
    x = 2,491.39

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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.