Home / 4,342.82-6,509.64-1,420.34

Finding the Fourth Proportional to 4,342.82, 6,509.64 and 1,420.34

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Solution

The fourth proportional to 4,342.82, 6,509.64 and 1,420.34 is: 2,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.82 : 6,509.64 = 1,420.34 : x
  2. Step 2: Convert to fraction form
    4,342.82/6,509.64 = 1,420.34/x
  3. Step 3: Cross multiply
    4,342.82x = 6,509.64 × 1,420.34
  4. Step 4: Simplify right side
    4,342.82x = 9,245,902.08
  5. Step 5: Solve for x
    x = 9,245,902.08/4,342.82
  6. Step 6: Final answer
    x = 2,129.01

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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.