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Finding the Fourth Proportional to 8,504.79, 11,745.57 and 7,577.13

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Solution

The fourth proportional to 8,504.79, 11,745.57 and 7,577.13 is: 10,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.79 : 11,745.57 = 7,577.13 : x
  2. Step 2: Convert to fraction form
    8,504.79/11,745.57 = 7,577.13/x
  3. Step 3: Cross multiply
    8,504.79x = 11,745.57 × 7,577.13
  4. Step 4: Simplify right side
    8,504.79x = 88,997,710.81
  5. Step 5: Solve for x
    x = 88,997,710.81/8,504.79
  6. Step 6: Final answer
    x = 10,464.42

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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.