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Finding the Fourth Proportional to 19,880.58, 29,820.88 and 5,089.54

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Solution

The fourth proportional to 19,880.58, 29,820.88 and 5,089.54 is: 7,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880.58 : 29,820.88 = 5,089.54 : x
  2. Step 2: Convert to fraction form
    19,880.58/29,820.88 = 5,089.54/x
  3. Step 3: Cross multiply
    19,880.58x = 29,820.88 × 5,089.54
  4. Step 4: Simplify right side
    19,880.58x = 151,774,561.60
  5. Step 5: Solve for x
    x = 151,774,561.60/19,880.58
  6. Step 6: Final answer
    x = 7,634.31

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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.