Home / 5,475.56-8,213.40-1,580

Finding the Fourth Proportional to 5,475.56, 8,213.40 and 1,580

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Solution

The fourth proportional to 5,475.56, 8,213.40 and 1,580 is: 2,370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.56 : 8,213.40 = 1,580 : x
  2. Step 2: Convert to fraction form
    5,475.56/8,213.40 = 1,580/x
  3. Step 3: Cross multiply
    5,475.56x = 8,213.40 × 1,580
  4. Step 4: Simplify right side
    5,475.56x = 12,977,172
  5. Step 5: Solve for x
    x = 12,977,172/5,475.56
  6. Step 6: Final answer
    x = 2,370.02

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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.