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Finding the Fourth Proportional to 8,478, 11,700.72 and 4,752

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Solution

The fourth proportional to 8,478, 11,700.72 and 4,752 is: 6,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478 : 11,700.72 = 4,752 : x
  2. Step 2: Convert to fraction form
    8,478/11,700.72 = 4,752/x
  3. Step 3: Cross multiply
    8,478x = 11,700.72 × 4,752
  4. Step 4: Simplify right side
    8,478x = 55,601,821.44
  5. Step 5: Solve for x
    x = 55,601,821.44/8,478
  6. Step 6: Final answer
    x = 6,558.37

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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.