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Finding the Fourth Proportional to 5,490.56, 8,235.98 and 1,980.87

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Solution

The fourth proportional to 5,490.56, 8,235.98 and 1,980.87 is: 2,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.56 : 8,235.98 = 1,980.87 : x
  2. Step 2: Convert to fraction form
    5,490.56/8,235.98 = 1,980.87/x
  3. Step 3: Cross multiply
    5,490.56x = 8,235.98 × 1,980.87
  4. Step 4: Simplify right side
    5,490.56x = 16,314,372.34
  5. Step 5: Solve for x
    x = 16,314,372.34/5,490.56
  6. Step 6: Final answer
    x = 2,971.35

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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.