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Finding the Fourth Proportional to 13,781.77, 19,019.03 and 7,813.31

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Solution

The fourth proportional to 13,781.77, 19,019.03 and 7,813.31 is: 10,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.77 : 19,019.03 = 7,813.31 : x
  2. Step 2: Convert to fraction form
    13,781.77/19,019.03 = 7,813.31/x
  3. Step 3: Cross multiply
    13,781.77x = 19,019.03 × 7,813.31
  4. Step 4: Simplify right side
    13,781.77x = 148,601,443.13
  5. Step 5: Solve for x
    x = 148,601,443.13/13,781.77
  6. Step 6: Final answer
    x = 10,782.47

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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.