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Finding the Fourth Proportional to 3,867.67, 5,802.15 and 1,270

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Solution

The fourth proportional to 3,867.67, 5,802.15 and 1,270 is: 1,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.67 : 5,802.15 = 1,270 : x
  2. Step 2: Convert to fraction form
    3,867.67/5,802.15 = 1,270/x
  3. Step 3: Cross multiply
    3,867.67x = 5,802.15 × 1,270
  4. Step 4: Simplify right side
    3,867.67x = 7,368,730.50
  5. Step 5: Solve for x
    x = 7,368,730.50/3,867.67
  6. Step 6: Final answer
    x = 1,905.21

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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.