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Finding the Fourth Proportional to 13,995, 19,313.19 and 7,707.78

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Solution

The fourth proportional to 13,995, 19,313.19 and 7,707.78 is: 10,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995 : 19,313.19 = 7,707.78 : x
  2. Step 2: Convert to fraction form
    13,995/19,313.19 = 7,707.78/x
  3. Step 3: Cross multiply
    13,995x = 19,313.19 × 7,707.78
  4. Step 4: Simplify right side
    13,995x = 148,861,819.62
  5. Step 5: Solve for x
    x = 148,861,819.62/13,995
  6. Step 6: Final answer
    x = 10,636.79

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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.