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Finding the Fourth Proportional to 2,764.40, 3,818.04 and 2,394.80

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Solution

The fourth proportional to 2,764.40, 3,818.04 and 2,394.80 is: 3,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.40 : 3,818.04 = 2,394.80 : x
  2. Step 2: Convert to fraction form
    2,764.40/3,818.04 = 2,394.80/x
  3. Step 3: Cross multiply
    2,764.40x = 3,818.04 × 2,394.80
  4. Step 4: Simplify right side
    2,764.40x = 9,143,442.19
  5. Step 5: Solve for x
    x = 9,143,442.19/2,764.40
  6. Step 6: Final answer
    x = 3,307.57

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1.5x scale

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.