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Finding the Fourth Proportional to 2,521, 3,474.64 and 1,733.68

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Solution

The fourth proportional to 2,521, 3,474.64 and 1,733.68 is: 2,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521 : 3,474.64 = 1,733.68 : x
  2. Step 2: Convert to fraction form
    2,521/3,474.64 = 1,733.68/x
  3. Step 3: Cross multiply
    2,521x = 3,474.64 × 1,733.68
  4. Step 4: Simplify right side
    2,521x = 6,023,913.88
  5. Step 5: Solve for x
    x = 6,023,913.88/2,521
  6. Step 6: Final answer
    x = 2,389.49

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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.