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Finding the Fourth Proportional to 19,636, 29,454 and 5,784.80

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Solution

The fourth proportional to 19,636, 29,454 and 5,784.80 is: 8,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,636 : 29,454 = 5,784.80 : x
  2. Step 2: Convert to fraction form
    19,636/29,454 = 5,784.80/x
  3. Step 3: Cross multiply
    19,636x = 29,454 × 5,784.80
  4. Step 4: Simplify right side
    19,636x = 170,385,499.20
  5. Step 5: Solve for x
    x = 170,385,499.20/19,636
  6. Step 6: Final answer
    x = 8,677.20

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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.