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Finding the Fourth Proportional to 1,370.66, 1,887.71 and 1,184.09

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Solution

The fourth proportional to 1,370.66, 1,887.71 and 1,184.09 is: 1,630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.66 : 1,887.71 = 1,184.09 : x
  2. Step 2: Convert to fraction form
    1,370.66/1,887.71 = 1,184.09/x
  3. Step 3: Cross multiply
    1,370.66x = 1,887.71 × 1,184.09
  4. Step 4: Simplify right side
    1,370.66x = 2,235,203.17
  5. Step 5: Solve for x
    x = 2,235,203.17/1,370.66
  6. Step 6: Final answer
    x = 1,630.76

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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.