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Finding the Fourth Proportional to 3,058.46, 4,587.00 and 1,496.90

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Solution

The fourth proportional to 3,058.46, 4,587.00 and 1,496.90 is: 2,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.46 : 4,587.00 = 1,496.90 : x
  2. Step 2: Convert to fraction form
    3,058.46/4,587.00 = 1,496.90/x
  3. Step 3: Cross multiply
    3,058.46x = 4,587.00 × 1,496.90
  4. Step 4: Simplify right side
    3,058.46x = 6,866,272.98
  5. Step 5: Solve for x
    x = 6,866,272.98/3,058.46
  6. Step 6: Final answer
    x = 2,245.01

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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.