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Finding the Fourth Proportional to 13,790.94, 19,032.42 and 7,822.99

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Solution

The fourth proportional to 13,790.94, 19,032.42 and 7,822.99 is: 10,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.94 : 19,032.42 = 7,822.99 : x
  2. Step 2: Convert to fraction form
    13,790.94/19,032.42 = 7,822.99/x
  3. Step 3: Cross multiply
    13,790.94x = 19,032.42 × 7,822.99
  4. Step 4: Simplify right side
    13,790.94x = 148,890,431.34
  5. Step 5: Solve for x
    x = 148,890,431.34/13,790.94
  6. Step 6: Final answer
    x = 10,796.25

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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.