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Finding the Fourth Proportional to 1,856.80, 2,779.80 and 1,802.80

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Solution

The fourth proportional to 1,856.80, 2,779.80 and 1,802.80 is: 2,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.80 : 2,779.80 = 1,802.80 : x
  2. Step 2: Convert to fraction form
    1,856.80/2,779.80 = 1,802.80/x
  3. Step 3: Cross multiply
    1,856.80x = 2,779.80 × 1,802.80
  4. Step 4: Simplify right side
    1,856.80x = 5,011,423.44
  5. Step 5: Solve for x
    x = 5,011,423.44/1,856.80
  6. Step 6: Final answer
    x = 2,698.96

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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.