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Finding the Fourth Proportional to 5,627.50, 8,440.62 and 1,929.25

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Solution

The fourth proportional to 5,627.50, 8,440.62 and 1,929.25 is: 2,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.50 : 8,440.62 = 1,929.25 : x
  2. Step 2: Convert to fraction form
    5,627.50/8,440.62 = 1,929.25/x
  3. Step 3: Cross multiply
    5,627.50x = 8,440.62 × 1,929.25
  4. Step 4: Simplify right side
    5,627.50x = 16,284,066.14
  5. Step 5: Solve for x
    x = 16,284,066.14/5,627.50
  6. Step 6: Final answer
    x = 2,893.66

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1.5x scale

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.