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Finding the Fourth Proportional to 14,310.68, 21,468.14 and 7,650.65

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Solution

The fourth proportional to 14,310.68, 21,468.14 and 7,650.65 is: 11,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.68 : 21,468.14 = 7,650.65 : x
  2. Step 2: Convert to fraction form
    14,310.68/21,468.14 = 7,650.65/x
  3. Step 3: Cross multiply
    14,310.68x = 21,468.14 × 7,650.65
  4. Step 4: Simplify right side
    14,310.68x = 164,245,269.40
  5. Step 5: Solve for x
    x = 164,245,269.40/14,310.68
  6. Step 6: Final answer
    x = 11,477.12

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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.