Home / 4,202-6,327.54-3,114.08

Finding the Fourth Proportional to 4,202, 6,327.54 and 3,114.08

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Solution

The fourth proportional to 4,202, 6,327.54 and 3,114.08 is: 4,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202 : 6,327.54 = 3,114.08 : x
  2. Step 2: Convert to fraction form
    4,202/6,327.54 = 3,114.08/x
  3. Step 3: Cross multiply
    4,202x = 6,327.54 × 3,114.08
  4. Step 4: Simplify right side
    4,202x = 19,704,465.76
  5. Step 5: Solve for x
    x = 19,704,465.76/4,202
  6. Step 6: Final answer
    x = 4,689.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.