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Finding the Fourth Proportional to 28,720, 43,080 and 7,943.50

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Solution

The fourth proportional to 28,720, 43,080 and 7,943.50 is: 11,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,720 : 43,080 = 7,943.50 : x
  2. Step 2: Convert to fraction form
    28,720/43,080 = 7,943.50/x
  3. Step 3: Cross multiply
    28,720x = 43,080 × 7,943.50
  4. Step 4: Simplify right side
    28,720x = 342,205,980
  5. Step 5: Solve for x
    x = 342,205,980/28,720
  6. Step 6: Final answer
    x = 11,915.25

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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.