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Finding the Fourth Proportional to 13,804.77, 19,047.99 and 8,141.31

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Solution

The fourth proportional to 13,804.77, 19,047.99 and 8,141.31 is: 11,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.77 : 19,047.99 = 8,141.31 : x
  2. Step 2: Convert to fraction form
    13,804.77/19,047.99 = 8,141.31/x
  3. Step 3: Cross multiply
    13,804.77x = 19,047.99 × 8,141.31
  4. Step 4: Simplify right side
    13,804.77x = 155,075,591.47
  5. Step 5: Solve for x
    x = 155,075,591.47/13,804.77
  6. Step 6: Final answer
    x = 11,233.48

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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.