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Finding the Fourth Proportional to 14,405.06, 19,878.99 and 7,781.06

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Solution

The fourth proportional to 14,405.06, 19,878.99 and 7,781.06 is: 10,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.06 : 19,878.99 = 7,781.06 : x
  2. Step 2: Convert to fraction form
    14,405.06/19,878.99 = 7,781.06/x
  3. Step 3: Cross multiply
    14,405.06x = 19,878.99 × 7,781.06
  4. Step 4: Simplify right side
    14,405.06x = 154,679,634.45
  5. Step 5: Solve for x
    x = 154,679,634.45/14,405.06
  6. Step 6: Final answer
    x = 10,737.87

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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.