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Finding the Fourth Proportional to 2,230, 3,345.54 and 1,571.47

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Solution

The fourth proportional to 2,230, 3,345.54 and 1,571.47 is: 2,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230 : 3,345.54 = 1,571.47 : x
  2. Step 2: Convert to fraction form
    2,230/3,345.54 = 1,571.47/x
  3. Step 3: Cross multiply
    2,230x = 3,345.54 × 1,571.47
  4. Step 4: Simplify right side
    2,230x = 5,257,415.74
  5. Step 5: Solve for x
    x = 5,257,415.74/2,230
  6. Step 6: Final answer
    x = 2,357.59

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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.