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Finding the Fourth Proportional to 1,307.87, 1,971.20 and 1,127.44

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Solution

The fourth proportional to 1,307.87, 1,971.20 and 1,127.44 is: 1,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.87 : 1,971.20 = 1,127.44 : x
  2. Step 2: Convert to fraction form
    1,307.87/1,971.20 = 1,127.44/x
  3. Step 3: Cross multiply
    1,307.87x = 1,971.20 × 1,127.44
  4. Step 4: Simplify right side
    1,307.87x = 2,222,409.73
  5. Step 5: Solve for x
    x = 2,222,409.73/1,307.87
  6. Step 6: Final answer
    x = 1,699.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.