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Finding the Fourth Proportional to 9,138, 13,705.38 and 2,564.76

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Solution

The fourth proportional to 9,138, 13,705.38 and 2,564.76 is: 3,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138 : 13,705.38 = 2,564.76 : x
  2. Step 2: Convert to fraction form
    9,138/13,705.38 = 2,564.76/x
  3. Step 3: Cross multiply
    9,138x = 13,705.38 × 2,564.76
  4. Step 4: Simplify right side
    9,138x = 35,151,010.41
  5. Step 5: Solve for x
    x = 35,151,010.41/9,138
  6. Step 6: Final answer
    x = 3,846.69

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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.