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Finding the Fourth Proportional to 2,859.30, 3,946.24 and 1,647.74

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Solution

The fourth proportional to 2,859.30, 3,946.24 and 1,647.74 is: 2,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.30 : 3,946.24 = 1,647.74 : x
  2. Step 2: Convert to fraction form
    2,859.30/3,946.24 = 1,647.74/x
  3. Step 3: Cross multiply
    2,859.30x = 3,946.24 × 1,647.74
  4. Step 4: Simplify right side
    2,859.30x = 6,502,389.42
  5. Step 5: Solve for x
    x = 6,502,389.42/2,859.30
  6. Step 6: Final answer
    x = 2,274.12

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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.