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Finding the Fourth Proportional to 1,983.16, 2,975.50 and 943.32

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Solution

The fourth proportional to 1,983.16, 2,975.50 and 943.32 is: 1,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.16 : 2,975.50 = 943.32 : x
  2. Step 2: Convert to fraction form
    1,983.16/2,975.50 = 943.32/x
  3. Step 3: Cross multiply
    1,983.16x = 2,975.50 × 943.32
  4. Step 4: Simplify right side
    1,983.16x = 2,806,848.66
  5. Step 5: Solve for x
    x = 2,806,848.66/1,983.16
  6. Step 6: Final answer
    x = 1,415.34

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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.