Home / 3,127.42-4,687.80-1,564.34

Finding the Fourth Proportional to 3,127.42, 4,687.80 and 1,564.34

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Solution

The fourth proportional to 3,127.42, 4,687.80 and 1,564.34 is: 2,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.42 : 4,687.80 = 1,564.34 : x
  2. Step 2: Convert to fraction form
    3,127.42/4,687.80 = 1,564.34/x
  3. Step 3: Cross multiply
    3,127.42x = 4,687.80 × 1,564.34
  4. Step 4: Simplify right side
    3,127.42x = 7,333,313.05
  5. Step 5: Solve for x
    x = 7,333,313.05/3,127.42
  6. Step 6: Final answer
    x = 2,344.84

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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.