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Finding the Fourth Proportional to 14,435, 19,920.34 and 7,811

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Solution

The fourth proportional to 14,435, 19,920.34 and 7,811 is: 10,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435 : 19,920.34 = 7,811 : x
  2. Step 2: Convert to fraction form
    14,435/19,920.34 = 7,811/x
  3. Step 3: Cross multiply
    14,435x = 19,920.34 × 7,811
  4. Step 4: Simplify right side
    14,435x = 155,597,775.74
  5. Step 5: Solve for x
    x = 155,597,775.74/14,435
  6. Step 6: Final answer
    x = 10,779.20

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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.