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Finding the Fourth Proportional to 5,479.66, 8,212.65 and 2,356

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Solution

The fourth proportional to 5,479.66, 8,212.65 and 2,356 is: 3,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,479.66 : 8,212.65 = 2,356 : x
  2. Step 2: Convert to fraction form
    5,479.66/8,212.65 = 2,356/x
  3. Step 3: Cross multiply
    5,479.66x = 8,212.65 × 2,356
  4. Step 4: Simplify right side
    5,479.66x = 19,349,003.40
  5. Step 5: Solve for x
    x = 19,349,003.40/5,479.66
  6. Step 6: Final answer
    x = 3,531.06

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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.