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Finding the Fourth Proportional to 2,230, 3,077.38 and 1,345.62

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Solution

The fourth proportional to 2,230, 3,077.38 and 1,345.62 is: 1,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230 : 3,077.38 = 1,345.62 : x
  2. Step 2: Convert to fraction form
    2,230/3,077.38 = 1,345.62/x
  3. Step 3: Cross multiply
    2,230x = 3,077.38 × 1,345.62
  4. Step 4: Simplify right side
    2,230x = 4,140,984.08
  5. Step 5: Solve for x
    x = 4,140,984.08/2,230
  6. Step 6: Final answer
    x = 1,856.94

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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.