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Finding the Fourth Proportional to 19,619.80, 29,429.70 and 17,416.60

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Solution

The fourth proportional to 19,619.80, 29,429.70 and 17,416.60 is: 26,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,619.80 : 29,429.70 = 17,416.60 : x
  2. Step 2: Convert to fraction form
    19,619.80/29,429.70 = 17,416.60/x
  3. Step 3: Cross multiply
    19,619.80x = 29,429.70 × 17,416.60
  4. Step 4: Simplify right side
    19,619.80x = 512,565,313.02
  5. Step 5: Solve for x
    x = 512,565,313.02/19,619.80
  6. Step 6: Final answer
    x = 26,124.90

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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.