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Finding the Fourth Proportional to 12,452.70, 18,643.95 and 9,684.30

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Solution

The fourth proportional to 12,452.70, 18,643.95 and 9,684.30 is: 14,499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.70 : 18,643.95 = 9,684.30 : x
  2. Step 2: Convert to fraction form
    12,452.70/18,643.95 = 9,684.30/x
  3. Step 3: Cross multiply
    12,452.70x = 18,643.95 × 9,684.30
  4. Step 4: Simplify right side
    12,452.70x = 180,553,604.99
  5. Step 5: Solve for x
    x = 180,553,604.99/12,452.70
  6. Step 6: Final answer
    x = 14,499.15

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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.