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Finding the Fourth Proportional to 7,645, 10,550.26 and 4,333

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Solution

The fourth proportional to 7,645, 10,550.26 and 4,333 is: 5,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645 : 10,550.26 = 4,333 : x
  2. Step 2: Convert to fraction form
    7,645/10,550.26 = 4,333/x
  3. Step 3: Cross multiply
    7,645x = 10,550.26 × 4,333
  4. Step 4: Simplify right side
    7,645x = 45,714,276.58
  5. Step 5: Solve for x
    x = 45,714,276.58/7,645
  6. Step 6: Final answer
    x = 5,979.63

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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.