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Finding the Fourth Proportional to 3,070.64, 4,237.74 and 1,744.76

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Solution

The fourth proportional to 3,070.64, 4,237.74 and 1,744.76 is: 2,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.64 : 4,237.74 = 1,744.76 : x
  2. Step 2: Convert to fraction form
    3,070.64/4,237.74 = 1,744.76/x
  3. Step 3: Cross multiply
    3,070.64x = 4,237.74 × 1,744.76
  4. Step 4: Simplify right side
    3,070.64x = 7,393,818.05
  5. Step 5: Solve for x
    x = 7,393,818.05/3,070.64
  6. Step 6: Final answer
    x = 2,407.91

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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.