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Finding the Fourth Proportional to 14,803.69, 20,429 and 8,089.14

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Solution

The fourth proportional to 14,803.69, 20,429 and 8,089.14 is: 11,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,803.69 : 20,429 = 8,089.14 : x
  2. Step 2: Convert to fraction form
    14,803.69/20,429 = 8,089.14/x
  3. Step 3: Cross multiply
    14,803.69x = 20,429 × 8,089.14
  4. Step 4: Simplify right side
    14,803.69x = 165,253,041.06
  5. Step 5: Solve for x
    x = 165,253,041.06/14,803.69
  6. Step 6: Final answer
    x = 11,162.96

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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.