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Finding the Fourth Proportional to 14,208, 19,607.04 and 7,920.78

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Solution

The fourth proportional to 14,208, 19,607.04 and 7,920.78 is: 10,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208 : 19,607.04 = 7,920.78 : x
  2. Step 2: Convert to fraction form
    14,208/19,607.04 = 7,920.78/x
  3. Step 3: Cross multiply
    14,208x = 19,607.04 × 7,920.78
  4. Step 4: Simplify right side
    14,208x = 155,303,050.29
  5. Step 5: Solve for x
    x = 155,303,050.29/14,208
  6. Step 6: Final answer
    x = 10,930.68

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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.