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Finding the Fourth Proportional to 13,454.16, 18,564.74 and 7,485.90

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Solution

The fourth proportional to 13,454.16, 18,564.74 and 7,485.90 is: 10,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.16 : 18,564.74 = 7,485.90 : x
  2. Step 2: Convert to fraction form
    13,454.16/18,564.74 = 7,485.90/x
  3. Step 3: Cross multiply
    13,454.16x = 18,564.74 × 7,485.90
  4. Step 4: Simplify right side
    13,454.16x = 138,973,787.17
  5. Step 5: Solve for x
    x = 138,973,787.17/13,454.16
  6. Step 6: Final answer
    x = 10,329.43

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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.