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Finding the Fourth Proportional to 13,994.64, 19,313.64 and 8,689.68

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Solution

The fourth proportional to 13,994.64, 19,313.64 and 8,689.68 is: 11,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.64 : 19,313.64 = 8,689.68 : x
  2. Step 2: Convert to fraction form
    13,994.64/19,313.64 = 8,689.68/x
  3. Step 3: Cross multiply
    13,994.64x = 19,313.64 × 8,689.68
  4. Step 4: Simplify right side
    13,994.64x = 167,829,351.24
  5. Step 5: Solve for x
    x = 167,829,351.24/13,994.64
  6. Step 6: Final answer
    x = 11,992.40

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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.