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Finding the Fourth Proportional to 19,783.56, 29,673.12 and 4,992.48

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Solution

The fourth proportional to 19,783.56, 29,673.12 and 4,992.48 is: 7,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.56 : 29,673.12 = 4,992.48 : x
  2. Step 2: Convert to fraction form
    19,783.56/29,673.12 = 4,992.48/x
  3. Step 3: Cross multiply
    19,783.56x = 29,673.12 × 4,992.48
  4. Step 4: Simplify right side
    19,783.56x = 148,142,458.14
  5. Step 5: Solve for x
    x = 148,142,458.14/19,783.56
  6. Step 6: Final answer
    x = 7,488.16

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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.