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Finding the Fourth Proportional to 13,454.64, 18,565.56 and 7,485.54

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Solution

The fourth proportional to 13,454.64, 18,565.56 and 7,485.54 is: 10,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.64 : 18,565.56 = 7,485.54 : x
  2. Step 2: Convert to fraction form
    13,454.64/18,565.56 = 7,485.54/x
  3. Step 3: Cross multiply
    13,454.64x = 18,565.56 × 7,485.54
  4. Step 4: Simplify right side
    13,454.64x = 138,973,242.00
  5. Step 5: Solve for x
    x = 138,973,242.00/13,454.64
  6. Step 6: Final answer
    x = 10,329.02

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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.