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Finding the Fourth Proportional to 13,091, 18,065.44 and 7,785.70

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Solution

The fourth proportional to 13,091, 18,065.44 and 7,785.70 is: 10,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091 : 18,065.44 = 7,785.70 : x
  2. Step 2: Convert to fraction form
    13,091/18,065.44 = 7,785.70/x
  3. Step 3: Cross multiply
    13,091x = 18,065.44 × 7,785.70
  4. Step 4: Simplify right side
    13,091x = 140,652,096.21
  5. Step 5: Solve for x
    x = 140,652,096.21/13,091
  6. Step 6: Final answer
    x = 10,744.18

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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.