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Finding the Fourth Proportional to 19,818, 29,720.12 and 5,774.24

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Solution

The fourth proportional to 19,818, 29,720.12 and 5,774.24 is: 8,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818 : 29,720.12 = 5,774.24 : x
  2. Step 2: Convert to fraction form
    19,818/29,720.12 = 5,774.24/x
  3. Step 3: Cross multiply
    19,818x = 29,720.12 × 5,774.24
  4. Step 4: Simplify right side
    19,818x = 171,611,105.71
  5. Step 5: Solve for x
    x = 171,611,105.71/19,818
  6. Step 6: Final answer
    x = 8,659.36

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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.