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Finding the Fourth Proportional to 1,438.76, 1,983.48 and 1,216.82

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Solution

The fourth proportional to 1,438.76, 1,983.48 and 1,216.82 is: 1,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.76 : 1,983.48 = 1,216.82 : x
  2. Step 2: Convert to fraction form
    1,438.76/1,983.48 = 1,216.82/x
  3. Step 3: Cross multiply
    1,438.76x = 1,983.48 × 1,216.82
  4. Step 4: Simplify right side
    1,438.76x = 2,413,538.13
  5. Step 5: Solve for x
    x = 2,413,538.13/1,438.76
  6. Step 6: Final answer
    x = 1,677.51

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1.5x scale

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.