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Finding the Fourth Proportional to 19,898.40, 29,861.40 and 14,978.40

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Solution

The fourth proportional to 19,898.40, 29,861.40 and 14,978.40 is: 22,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.40 : 29,861.40 = 14,978.40 : x
  2. Step 2: Convert to fraction form
    19,898.40/29,861.40 = 14,978.40/x
  3. Step 3: Cross multiply
    19,898.40x = 29,861.40 × 14,978.40
  4. Step 4: Simplify right side
    19,898.40x = 447,275,993.76
  5. Step 5: Solve for x
    x = 447,275,993.76/19,898.40
  6. Step 6: Final answer
    x = 22,477.99

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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.