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Finding the Fourth Proportional to 3,070.47, 4,237.11 and 1,744

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Solution

The fourth proportional to 3,070.47, 4,237.11 and 1,744 is: 2,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.47 : 4,237.11 = 1,744 : x
  2. Step 2: Convert to fraction form
    3,070.47/4,237.11 = 1,744/x
  3. Step 3: Cross multiply
    3,070.47x = 4,237.11 × 1,744
  4. Step 4: Simplify right side
    3,070.47x = 7,389,519.84
  5. Step 5: Solve for x
    x = 7,389,519.84/3,070.47
  6. Step 6: Final answer
    x = 2,406.64

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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.