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Finding the Fourth Proportional to 19,640.93, 29,443.97 and 7,158.63

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Solution

The fourth proportional to 19,640.93, 29,443.97 and 7,158.63 is: 10,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.93 : 29,443.97 = 7,158.63 : x
  2. Step 2: Convert to fraction form
    19,640.93/29,443.97 = 7,158.63/x
  3. Step 3: Cross multiply
    19,640.93x = 29,443.97 × 7,158.63
  4. Step 4: Simplify right side
    19,640.93x = 210,778,303.95
  5. Step 5: Solve for x
    x = 210,778,303.95/19,640.93
  6. Step 6: Final answer
    x = 10,731.59

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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.