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Finding the Fourth Proportional to 28,915.64, 43,361.22 and 9,188.90

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Solution

The fourth proportional to 28,915.64, 43,361.22 and 9,188.90 is: 13,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,915.64 : 43,361.22 = 9,188.90 : x
  2. Step 2: Convert to fraction form
    28,915.64/43,361.22 = 9,188.90/x
  3. Step 3: Cross multiply
    28,915.64x = 43,361.22 × 9,188.90
  4. Step 4: Simplify right side
    28,915.64x = 398,441,914.46
  5. Step 5: Solve for x
    x = 398,441,914.46/28,915.64
  6. Step 6: Final answer
    x = 13,779.46

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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.