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Finding the Fourth Proportional to 8,577.64, 11,848.26 and 7,091.56

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Solution

The fourth proportional to 8,577.64, 11,848.26 and 7,091.56 is: 9,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.64 : 11,848.26 = 7,091.56 : x
  2. Step 2: Convert to fraction form
    8,577.64/11,848.26 = 7,091.56/x
  3. Step 3: Cross multiply
    8,577.64x = 11,848.26 × 7,091.56
  4. Step 4: Simplify right side
    8,577.64x = 84,022,646.69
  5. Step 5: Solve for x
    x = 84,022,646.69/8,577.64
  6. Step 6: Final answer
    x = 9,795.54

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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.