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Finding the Fourth Proportional to 5,688, 8,532 and 2,225.25

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Solution

The fourth proportional to 5,688, 8,532 and 2,225.25 is: 3,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688 : 8,532 = 2,225.25 : x
  2. Step 2: Convert to fraction form
    5,688/8,532 = 2,225.25/x
  3. Step 3: Cross multiply
    5,688x = 8,532 × 2,225.25
  4. Step 4: Simplify right side
    5,688x = 18,985,833
  5. Step 5: Solve for x
    x = 18,985,833/5,688
  6. Step 6: Final answer
    x = 3,337.88

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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.