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Finding the Fourth Proportional to 14,321, 19,765.14 and 8,735.24

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Solution

The fourth proportional to 14,321, 19,765.14 and 8,735.24 is: 12,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321 : 19,765.14 = 8,735.24 : x
  2. Step 2: Convert to fraction form
    14,321/19,765.14 = 8,735.24/x
  3. Step 3: Cross multiply
    14,321x = 19,765.14 × 8,735.24
  4. Step 4: Simplify right side
    14,321x = 172,653,241.53
  5. Step 5: Solve for x
    x = 172,653,241.53/14,321
  6. Step 6: Final answer
    x = 12,055.95

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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.