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Finding the Fourth Proportional to 13,465.38, 18,579 and 7,723.47

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Solution

The fourth proportional to 13,465.38, 18,579 and 7,723.47 is: 10,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.38 : 18,579 = 7,723.47 : x
  2. Step 2: Convert to fraction form
    13,465.38/18,579 = 7,723.47/x
  3. Step 3: Cross multiply
    13,465.38x = 18,579 × 7,723.47
  4. Step 4: Simplify right side
    13,465.38x = 143,494,349.13
  5. Step 5: Solve for x
    x = 143,494,349.13/13,465.38
  6. Step 6: Final answer
    x = 10,656.54

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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.