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Finding the Fourth Proportional to 2,259, 3,384.36 and 1,642.56

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Solution

The fourth proportional to 2,259, 3,384.36 and 1,642.56 is: 2,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259 : 3,384.36 = 1,642.56 : x
  2. Step 2: Convert to fraction form
    2,259/3,384.36 = 1,642.56/x
  3. Step 3: Cross multiply
    2,259x = 3,384.36 × 1,642.56
  4. Step 4: Simplify right side
    2,259x = 5,559,014.36
  5. Step 5: Solve for x
    x = 5,559,014.36/2,259
  6. Step 6: Final answer
    x = 2,460.83

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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.