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Finding the Fourth Proportional to 19,361.68, 29,077 and 15,858.32

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Solution

The fourth proportional to 19,361.68, 29,077 and 15,858.32 is: 23,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,361.68 : 29,077 = 15,858.32 : x
  2. Step 2: Convert to fraction form
    19,361.68/29,077 = 15,858.32/x
  3. Step 3: Cross multiply
    19,361.68x = 29,077 × 15,858.32
  4. Step 4: Simplify right side
    19,361.68x = 461,112,370.64
  5. Step 5: Solve for x
    x = 461,112,370.64/19,361.68
  6. Step 6: Final answer
    x = 23,815.72

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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.