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Finding the Fourth Proportional to 5,627, 8,440.50 and 1,523

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Solution

The fourth proportional to 5,627, 8,440.50 and 1,523 is: 2,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627 : 8,440.50 = 1,523 : x
  2. Step 2: Convert to fraction form
    5,627/8,440.50 = 1,523/x
  3. Step 3: Cross multiply
    5,627x = 8,440.50 × 1,523
  4. Step 4: Simplify right side
    5,627x = 12,854,881.50
  5. Step 5: Solve for x
    x = 12,854,881.50/5,627
  6. Step 6: Final answer
    x = 2,284.50

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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.