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Finding the Fourth Proportional to 9,166.86, 12,650.34 and 5,390.10

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Solution

The fourth proportional to 9,166.86, 12,650.34 and 5,390.10 is: 7,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.86 : 12,650.34 = 5,390.10 : x
  2. Step 2: Convert to fraction form
    9,166.86/12,650.34 = 5,390.10/x
  3. Step 3: Cross multiply
    9,166.86x = 12,650.34 × 5,390.10
  4. Step 4: Simplify right side
    9,166.86x = 68,186,570.68
  5. Step 5: Solve for x
    x = 68,186,570.68/9,166.86
  6. Step 6: Final answer
    x = 7,438.38

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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.