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Finding the Fourth Proportional to 8,577.86, 12,809.49 and 7,332.26

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Solution

The fourth proportional to 8,577.86, 12,809.49 and 7,332.26 is: 10,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.86 : 12,809.49 = 7,332.26 : x
  2. Step 2: Convert to fraction form
    8,577.86/12,809.49 = 7,332.26/x
  3. Step 3: Cross multiply
    8,577.86x = 12,809.49 × 7,332.26
  4. Step 4: Simplify right side
    8,577.86x = 93,922,511.15
  5. Step 5: Solve for x
    x = 93,922,511.15/8,577.86
  6. Step 6: Final answer
    x = 10,949.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.