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Finding the Fourth Proportional to 14,552, 20,081.76 and 7,928

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Solution

The fourth proportional to 14,552, 20,081.76 and 7,928 is: 10,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,552 : 20,081.76 = 7,928 : x
  2. Step 2: Convert to fraction form
    14,552/20,081.76 = 7,928/x
  3. Step 3: Cross multiply
    14,552x = 20,081.76 × 7,928
  4. Step 4: Simplify right side
    14,552x = 159,208,193.28
  5. Step 5: Solve for x
    x = 159,208,193.28/14,552
  6. Step 6: Final answer
    x = 10,940.64

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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.