Home / 5,884-8,824.13-1,934.35

Finding the Fourth Proportional to 5,884, 8,824.13 and 1,934.35

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Solution

The fourth proportional to 5,884, 8,824.13 and 1,934.35 is: 2,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884 : 8,824.13 = 1,934.35 : x
  2. Step 2: Convert to fraction form
    5,884/8,824.13 = 1,934.35/x
  3. Step 3: Cross multiply
    5,884x = 8,824.13 × 1,934.35
  4. Step 4: Simplify right side
    5,884x = 17,068,946.19
  5. Step 5: Solve for x
    x = 17,068,946.19/5,884
  6. Step 6: Final answer
    x = 2,900.91

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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.