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Finding the Fourth Proportional to 19,878, 29,811.05 and 6,548.53

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Solution

The fourth proportional to 19,878, 29,811.05 and 6,548.53 is: 9,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878 : 29,811.05 = 6,548.53 : x
  2. Step 2: Convert to fraction form
    19,878/29,811.05 = 6,548.53/x
  3. Step 3: Cross multiply
    19,878x = 29,811.05 × 6,548.53
  4. Step 4: Simplify right side
    19,878x = 195,218,555.26
  5. Step 5: Solve for x
    x = 195,218,555.26/19,878
  6. Step 6: Final answer
    x = 9,820.83

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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.