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Finding the Fourth Proportional to 14,129.69, 21,189.65 and 7,106.99

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Solution

The fourth proportional to 14,129.69, 21,189.65 and 7,106.99 is: 10,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.69 : 21,189.65 = 7,106.99 : x
  2. Step 2: Convert to fraction form
    14,129.69/21,189.65 = 7,106.99/x
  3. Step 3: Cross multiply
    14,129.69x = 21,189.65 × 7,106.99
  4. Step 4: Simplify right side
    14,129.69x = 150,594,489.17
  5. Step 5: Solve for x
    x = 150,594,489.17/14,129.69
  6. Step 6: Final answer
    x = 10,658.02

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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.