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Finding the Fourth Proportional to 4,120, 5,685.62 and 2,257

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Solution

The fourth proportional to 4,120, 5,685.62 and 2,257 is: 3,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120 : 5,685.62 = 2,257 : x
  2. Step 2: Convert to fraction form
    4,120/5,685.62 = 2,257/x
  3. Step 3: Cross multiply
    4,120x = 5,685.62 × 2,257
  4. Step 4: Simplify right side
    4,120x = 12,832,444.34
  5. Step 5: Solve for x
    x = 12,832,444.34/4,120
  6. Step 6: Final answer
    x = 3,114.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.