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Finding the Fourth Proportional to 7,166, 9,893.28 and 4,515.68

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Solution

The fourth proportional to 7,166, 9,893.28 and 4,515.68 is: 6,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166 : 9,893.28 = 4,515.68 : x
  2. Step 2: Convert to fraction form
    7,166/9,893.28 = 4,515.68/x
  3. Step 3: Cross multiply
    7,166x = 9,893.28 × 4,515.68
  4. Step 4: Simplify right side
    7,166x = 44,674,886.63
  5. Step 5: Solve for x
    x = 44,674,886.63/7,166
  6. Step 6: Final answer
    x = 6,234.29

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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.