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Finding the Fourth Proportional to 1,609.76, 2,216.40 and 1,420.48

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Solution

The fourth proportional to 1,609.76, 2,216.40 and 1,420.48 is: 1,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.76 : 2,216.40 = 1,420.48 : x
  2. Step 2: Convert to fraction form
    1,609.76/2,216.40 = 1,420.48/x
  3. Step 3: Cross multiply
    1,609.76x = 2,216.40 × 1,420.48
  4. Step 4: Simplify right side
    1,609.76x = 3,148,351.87
  5. Step 5: Solve for x
    x = 3,148,351.87/1,609.76
  6. Step 6: Final answer
    x = 1,955.79

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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.