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Finding the Fourth Proportional to 1,983.08, 2,975.06 and 1,058.15

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Solution

The fourth proportional to 1,983.08, 2,975.06 and 1,058.15 is: 1,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.08 : 2,975.06 = 1,058.15 : x
  2. Step 2: Convert to fraction form
    1,983.08/2,975.06 = 1,058.15/x
  3. Step 3: Cross multiply
    1,983.08x = 2,975.06 × 1,058.15
  4. Step 4: Simplify right side
    1,983.08x = 3,148,059.74
  5. Step 5: Solve for x
    x = 3,148,059.74/1,983.08
  6. Step 6: Final answer
    x = 1,587.46

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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.