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Finding the Fourth Proportional to 13,780.71, 19,018.44 and 7,813.44

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Solution

The fourth proportional to 13,780.71, 19,018.44 and 7,813.44 is: 10,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.71 : 19,018.44 = 7,813.44 : x
  2. Step 2: Convert to fraction form
    13,780.71/19,018.44 = 7,813.44/x
  3. Step 3: Cross multiply
    13,780.71x = 19,018.44 × 7,813.44
  4. Step 4: Simplify right side
    13,780.71x = 148,599,439.83
  5. Step 5: Solve for x
    x = 148,599,439.83/13,780.71
  6. Step 6: Final answer
    x = 10,783.15

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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.