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Finding the Fourth Proportional to 13,745.80, 18,969.18 and 7,458.16

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Solution

The fourth proportional to 13,745.80, 18,969.18 and 7,458.16 is: 10,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.80 : 18,969.18 = 7,458.16 : x
  2. Step 2: Convert to fraction form
    13,745.80/18,969.18 = 7,458.16/x
  3. Step 3: Cross multiply
    13,745.80x = 18,969.18 × 7,458.16
  4. Step 4: Simplify right side
    13,745.80x = 141,475,179.51
  5. Step 5: Solve for x
    x = 141,475,179.51/13,745.80
  6. Step 6: Final answer
    x = 10,292.25

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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.