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Finding the Fourth Proportional to 6,416.98, 8,852.39 and 4,178.04

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Solution

The fourth proportional to 6,416.98, 8,852.39 and 4,178.04 is: 5,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.98 : 8,852.39 = 4,178.04 : x
  2. Step 2: Convert to fraction form
    6,416.98/8,852.39 = 4,178.04/x
  3. Step 3: Cross multiply
    6,416.98x = 8,852.39 × 4,178.04
  4. Step 4: Simplify right side
    6,416.98x = 36,985,639.52
  5. Step 5: Solve for x
    x = 36,985,639.52/6,416.98
  6. Step 6: Final answer
    x = 5,763.71

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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.