Home / 13,947-19,246.86-7,659.24

Finding the Fourth Proportional to 13,947, 19,246.86 and 7,659.24

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Solution

The fourth proportional to 13,947, 19,246.86 and 7,659.24 is: 10,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947 : 19,246.86 = 7,659.24 : x
  2. Step 2: Convert to fraction form
    13,947/19,246.86 = 7,659.24/x
  3. Step 3: Cross multiply
    13,947x = 19,246.86 × 7,659.24
  4. Step 4: Simplify right side
    13,947x = 147,416,319.99
  5. Step 5: Solve for x
    x = 147,416,319.99/13,947
  6. Step 6: Final answer
    x = 10,569.75

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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.