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Finding the Fourth Proportional to 3,291.60, 4,934.20 and 2,946

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Solution

The fourth proportional to 3,291.60, 4,934.20 and 2,946 is: 4,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.60 : 4,934.20 = 2,946 : x
  2. Step 2: Convert to fraction form
    3,291.60/4,934.20 = 2,946/x
  3. Step 3: Cross multiply
    3,291.60x = 4,934.20 × 2,946
  4. Step 4: Simplify right side
    3,291.60x = 14,536,153.20
  5. Step 5: Solve for x
    x = 14,536,153.20/3,291.60
  6. Step 6: Final answer
    x = 4,416.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.