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Finding the Fourth Proportional to 9,757.86, 13,458.45 and 8,415.84

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Solution

The fourth proportional to 9,757.86, 13,458.45 and 8,415.84 is: 11,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.86 : 13,458.45 = 8,415.84 : x
  2. Step 2: Convert to fraction form
    9,757.86/13,458.45 = 8,415.84/x
  3. Step 3: Cross multiply
    9,757.86x = 13,458.45 × 8,415.84
  4. Step 4: Simplify right side
    9,757.86x = 113,264,161.85
  5. Step 5: Solve for x
    x = 113,264,161.85/9,757.86
  6. Step 6: Final answer
    x = 11,607.48

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1.5x scale

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.