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Finding the Fourth Proportional to 3,490.98, 5,237.00 and 1,150.22

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Solution

The fourth proportional to 3,490.98, 5,237.00 and 1,150.22 is: 1,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.98 : 5,237.00 = 1,150.22 : x
  2. Step 2: Convert to fraction form
    3,490.98/5,237.00 = 1,150.22/x
  3. Step 3: Cross multiply
    3,490.98x = 5,237.00 × 1,150.22
  4. Step 4: Simplify right side
    3,490.98x = 6,023,670.20
  5. Step 5: Solve for x
    x = 6,023,670.20/3,490.98
  6. Step 6: Final answer
    x = 1,725.50

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Double scale
Find fourth proportional to 3,491.98, 5,238.50 and 1,151.22
Similar ratio
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1.5x scale

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.