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Finding the Fourth Proportional to 1,392.76, 1,917.64 and 1,182.50

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Solution

The fourth proportional to 1,392.76, 1,917.64 and 1,182.50 is: 1,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.76 : 1,917.64 = 1,182.50 : x
  2. Step 2: Convert to fraction form
    1,392.76/1,917.64 = 1,182.50/x
  3. Step 3: Cross multiply
    1,392.76x = 1,917.64 × 1,182.50
  4. Step 4: Simplify right side
    1,392.76x = 2,267,603.39
  5. Step 5: Solve for x
    x = 2,267,603.39/1,392.76
  6. Step 6: Final answer
    x = 1,628.14

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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.