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Finding the Fourth Proportional to 19,145, 28,715.84 and 6,661.80

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Solution

The fourth proportional to 19,145, 28,715.84 and 6,661.80 is: 9,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,145 : 28,715.84 = 6,661.80 : x
  2. Step 2: Convert to fraction form
    19,145/28,715.84 = 6,661.80/x
  3. Step 3: Cross multiply
    19,145x = 28,715.84 × 6,661.80
  4. Step 4: Simplify right side
    19,145x = 191,299,182.91
  5. Step 5: Solve for x
    x = 191,299,182.91/19,145
  6. Step 6: Final answer
    x = 9,992.12

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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.