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Finding the Fourth Proportional to 19,989.63, 29,978.95 and 7,508.68

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Solution

The fourth proportional to 19,989.63, 29,978.95 and 7,508.68 is: 11,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989.63 : 29,978.95 = 7,508.68 : x
  2. Step 2: Convert to fraction form
    19,989.63/29,978.95 = 7,508.68/x
  3. Step 3: Cross multiply
    19,989.63x = 29,978.95 × 7,508.68
  4. Step 4: Simplify right side
    19,989.63x = 225,102,342.29
  5. Step 5: Solve for x
    x = 225,102,342.29/19,989.63
  6. Step 6: Final answer
    x = 11,260.96

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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.