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Finding the Fourth Proportional to 11,677, 16,114.26 and 7,485.25

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Solution

The fourth proportional to 11,677, 16,114.26 and 7,485.25 is: 10,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677 : 16,114.26 = 7,485.25 : x
  2. Step 2: Convert to fraction form
    11,677/16,114.26 = 7,485.25/x
  3. Step 3: Cross multiply
    11,677x = 16,114.26 × 7,485.25
  4. Step 4: Simplify right side
    11,677x = 120,619,264.67
  5. Step 5: Solve for x
    x = 120,619,264.67/11,677
  6. Step 6: Final answer
    x = 10,329.65

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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.