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Finding the Fourth Proportional to 9,156.77, 13,740.77 and 4,226.76

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Solution

The fourth proportional to 9,156.77, 13,740.77 and 4,226.76 is: 6,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.77 : 13,740.77 = 4,226.76 : x
  2. Step 2: Convert to fraction form
    9,156.77/13,740.77 = 4,226.76/x
  3. Step 3: Cross multiply
    9,156.77x = 13,740.77 × 4,226.76
  4. Step 4: Simplify right side
    9,156.77x = 58,078,915.87
  5. Step 5: Solve for x
    x = 58,078,915.87/9,156.77
  6. Step 6: Final answer
    x = 6,342.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.