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Finding the Fourth Proportional to 19,981.99, 29,978.99 and 9,460.03

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Solution

The fourth proportional to 19,981.99, 29,978.99 and 9,460.03 is: 14,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,981.99 : 29,978.99 = 9,460.03 : x
  2. Step 2: Convert to fraction form
    19,981.99/29,978.99 = 9,460.03/x
  3. Step 3: Cross multiply
    19,981.99x = 29,978.99 × 9,460.03
  4. Step 4: Simplify right side
    19,981.99x = 283,602,097.47
  5. Step 5: Solve for x
    x = 283,602,097.47/19,981.99
  6. Step 6: Final answer
    x = 14,192.89

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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.