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Finding the Fourth Proportional to 14,405.88, 19,880.10 and 7,781.88

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Solution

The fourth proportional to 14,405.88, 19,880.10 and 7,781.88 is: 10,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.88 : 19,880.10 = 7,781.88 : x
  2. Step 2: Convert to fraction form
    14,405.88/19,880.10 = 7,781.88/x
  3. Step 3: Cross multiply
    14,405.88x = 19,880.10 × 7,781.88
  4. Step 4: Simplify right side
    14,405.88x = 154,704,552.59
  5. Step 5: Solve for x
    x = 154,704,552.59/14,405.88
  6. Step 6: Final answer
    x = 10,738.99

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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.