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Finding the Fourth Proportional to 13,919.64, 20,878.52 and 6,525.74

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Solution

The fourth proportional to 13,919.64, 20,878.52 and 6,525.74 is: 9,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919.64 : 20,878.52 = 6,525.74 : x
  2. Step 2: Convert to fraction form
    13,919.64/20,878.52 = 6,525.74/x
  3. Step 3: Cross multiply
    13,919.64x = 20,878.52 × 6,525.74
  4. Step 4: Simplify right side
    13,919.64x = 136,247,656.08
  5. Step 5: Solve for x
    x = 136,247,656.08/13,919.64
  6. Step 6: Final answer
    x = 9,788.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.