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Finding the Fourth Proportional to 13,892.65, 20,824.40 and 9,994.93

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Solution

The fourth proportional to 13,892.65, 20,824.40 and 9,994.93 is: 14,981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.65 : 20,824.40 = 9,994.93 : x
  2. Step 2: Convert to fraction form
    13,892.65/20,824.40 = 9,994.93/x
  3. Step 3: Cross multiply
    13,892.65x = 20,824.40 × 9,994.93
  4. Step 4: Simplify right side
    13,892.65x = 208,138,370.32
  5. Step 5: Solve for x
    x = 208,138,370.32/13,892.65
  6. Step 6: Final answer
    x = 14,981.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.