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Finding the Fourth Proportional to 2,348.64, 3,539.11 and 1,946.80

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Solution

The fourth proportional to 2,348.64, 3,539.11 and 1,946.80 is: 2,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.64 : 3,539.11 = 1,946.80 : x
  2. Step 2: Convert to fraction form
    2,348.64/3,539.11 = 1,946.80/x
  3. Step 3: Cross multiply
    2,348.64x = 3,539.11 × 1,946.80
  4. Step 4: Simplify right side
    2,348.64x = 6,889,939.35
  5. Step 5: Solve for x
    x = 6,889,939.35/2,348.64
  6. Step 6: Final answer
    x = 2,933.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.