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Finding the Fourth Proportional to 14,147.12, 19,523.88 and 7,859.48

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Solution

The fourth proportional to 14,147.12, 19,523.88 and 7,859.48 is: 10,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.12 : 19,523.88 = 7,859.48 : x
  2. Step 2: Convert to fraction form
    14,147.12/19,523.88 = 7,859.48/x
  3. Step 3: Cross multiply
    14,147.12x = 19,523.88 × 7,859.48
  4. Step 4: Simplify right side
    14,147.12x = 153,447,544.38
  5. Step 5: Solve for x
    x = 153,447,544.38/14,147.12
  6. Step 6: Final answer
    x = 10,846.56

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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.