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Finding the Fourth Proportional to 13,462.90, 18,578.64 and 7,873.90

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Solution

The fourth proportional to 13,462.90, 18,578.64 and 7,873.90 is: 10,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.90 : 18,578.64 = 7,873.90 : x
  2. Step 2: Convert to fraction form
    13,462.90/18,578.64 = 7,873.90/x
  3. Step 3: Cross multiply
    13,462.90x = 18,578.64 × 7,873.90
  4. Step 4: Simplify right side
    13,462.90x = 146,286,353.50
  5. Step 5: Solve for x
    x = 146,286,353.50/13,462.90
  6. Step 6: Final answer
    x = 10,865.89

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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.