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Finding the Fourth Proportional to 13,465, 18,583.86 and 7,874.92

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Solution

The fourth proportional to 13,465, 18,583.86 and 7,874.92 is: 10,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465 : 18,583.86 = 7,874.92 : x
  2. Step 2: Convert to fraction form
    13,465/18,583.86 = 7,874.92/x
  3. Step 3: Cross multiply
    13,465x = 18,583.86 × 7,874.92
  4. Step 4: Simplify right side
    13,465x = 146,346,410.79
  5. Step 5: Solve for x
    x = 146,346,410.79/13,465
  6. Step 6: Final answer
    x = 10,868.65

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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.