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Finding the Fourth Proportional to 1,856.15, 2,784.21 and 1,580.48

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Solution

The fourth proportional to 1,856.15, 2,784.21 and 1,580.48 is: 2,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.15 : 2,784.21 = 1,580.48 : x
  2. Step 2: Convert to fraction form
    1,856.15/2,784.21 = 1,580.48/x
  3. Step 3: Cross multiply
    1,856.15x = 2,784.21 × 1,580.48
  4. Step 4: Simplify right side
    1,856.15x = 4,400,374.30
  5. Step 5: Solve for x
    x = 4,400,374.30/1,856.15
  6. Step 6: Final answer
    x = 2,370.71

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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.