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Finding the Fourth Proportional to 14,405.13, 19,879.08 and 7,781.13

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Solution

The fourth proportional to 14,405.13, 19,879.08 and 7,781.13 is: 10,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.13 : 19,879.08 = 7,781.13 : x
  2. Step 2: Convert to fraction form
    14,405.13/19,879.08 = 7,781.13/x
  3. Step 3: Cross multiply
    14,405.13x = 19,879.08 × 7,781.13
  4. Step 4: Simplify right side
    14,405.13x = 154,681,705.76
  5. Step 5: Solve for x
    x = 154,681,705.76/14,405.13
  6. Step 6: Final answer
    x = 10,737.96

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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.