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Finding the Fourth Proportional to 28,084.50, 42,126.84 and 7,308

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Solution

The fourth proportional to 28,084.50, 42,126.84 and 7,308 is: 10,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,084.50 : 42,126.84 = 7,308 : x
  2. Step 2: Convert to fraction form
    28,084.50/42,126.84 = 7,308/x
  3. Step 3: Cross multiply
    28,084.50x = 42,126.84 × 7,308
  4. Step 4: Simplify right side
    28,084.50x = 307,862,946.72
  5. Step 5: Solve for x
    x = 307,862,946.72/28,084.50
  6. Step 6: Final answer
    x = 10,962.02

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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.