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Finding the Fourth Proportional to 14,122, 19,488.77 and 7,834.78

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Solution

The fourth proportional to 14,122, 19,488.77 and 7,834.78 is: 10,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122 : 19,488.77 = 7,834.78 : x
  2. Step 2: Convert to fraction form
    14,122/19,488.77 = 7,834.78/x
  3. Step 3: Cross multiply
    14,122x = 19,488.77 × 7,834.78
  4. Step 4: Simplify right side
    14,122x = 152,690,225.42
  5. Step 5: Solve for x
    x = 152,690,225.42/14,122
  6. Step 6: Final answer
    x = 10,812.22

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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.