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Finding the Fourth Proportional to 28,937.21, 43,409 and 9,211.15

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Solution

The fourth proportional to 28,937.21, 43,409 and 9,211.15 is: 13,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,937.21 : 43,409 = 9,211.15 : x
  2. Step 2: Convert to fraction form
    28,937.21/43,409 = 9,211.15/x
  3. Step 3: Cross multiply
    28,937.21x = 43,409 × 9,211.15
  4. Step 4: Simplify right side
    28,937.21x = 399,846,810.35
  5. Step 5: Solve for x
    x = 399,846,810.35/28,937.21
  6. Step 6: Final answer
    x = 13,817.74

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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.