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Finding the Fourth Proportional to 13,643.70, 20,465.55 and 11,505.30

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Solution

The fourth proportional to 13,643.70, 20,465.55 and 11,505.30 is: 17,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.70 : 20,465.55 = 11,505.30 : x
  2. Step 2: Convert to fraction form
    13,643.70/20,465.55 = 11,505.30/x
  3. Step 3: Cross multiply
    13,643.70x = 20,465.55 × 11,505.30
  4. Step 4: Simplify right side
    13,643.70x = 235,462,292.42
  5. Step 5: Solve for x
    x = 235,462,292.42/13,643.70
  6. Step 6: Final answer
    x = 17,257.95

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1.5x scale

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.