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Finding the Fourth Proportional to 9,726.72, 13,415.76 and 6,364.12

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Solution

The fourth proportional to 9,726.72, 13,415.76 and 6,364.12 is: 8,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.72 : 13,415.76 = 6,364.12 : x
  2. Step 2: Convert to fraction form
    9,726.72/13,415.76 = 6,364.12/x
  3. Step 3: Cross multiply
    9,726.72x = 13,415.76 × 6,364.12
  4. Step 4: Simplify right side
    9,726.72x = 85,379,506.53
  5. Step 5: Solve for x
    x = 85,379,506.53/9,726.72
  6. Step 6: Final answer
    x = 8,777.83

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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.