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Finding the Fourth Proportional to 19,764.60, 29,663.10 and 19,116.60

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Solution

The fourth proportional to 19,764.60, 29,663.10 and 19,116.60 is: 28,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764.60 : 29,663.10 = 19,116.60 : x
  2. Step 2: Convert to fraction form
    19,764.60/29,663.10 = 19,116.60/x
  3. Step 3: Cross multiply
    19,764.60x = 29,663.10 × 19,116.60
  4. Step 4: Simplify right side
    19,764.60x = 567,057,617.46
  5. Step 5: Solve for x
    x = 567,057,617.46/19,764.60
  6. Step 6: Final answer
    x = 28,690.57

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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.