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Finding the Fourth Proportional to 1,861.50, 2,573.67 and 1,779.90

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Solution

The fourth proportional to 1,861.50, 2,573.67 and 1,779.90 is: 2,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.50 : 2,573.67 = 1,779.90 : x
  2. Step 2: Convert to fraction form
    1,861.50/2,573.67 = 1,779.90/x
  3. Step 3: Cross multiply
    1,861.50x = 2,573.67 × 1,779.90
  4. Step 4: Simplify right side
    1,861.50x = 4,580,875.23
  5. Step 5: Solve for x
    x = 4,580,875.23/1,861.50
  6. Step 6: Final answer
    x = 2,460.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.