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Finding the Fourth Proportional to 13,138.16, 19,706.69 and 6,115.76

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Solution

The fourth proportional to 13,138.16, 19,706.69 and 6,115.76 is: 9,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.16 : 19,706.69 = 6,115.76 : x
  2. Step 2: Convert to fraction form
    13,138.16/19,706.69 = 6,115.76/x
  3. Step 3: Cross multiply
    13,138.16x = 19,706.69 × 6,115.76
  4. Step 4: Simplify right side
    13,138.16x = 120,521,386.43
  5. Step 5: Solve for x
    x = 120,521,386.43/13,138.16
  6. Step 6: Final answer
    x = 9,173.38

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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.