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Finding the Fourth Proportional to 3,658.56, 5,489.06 and 2,430.80

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Solution

The fourth proportional to 3,658.56, 5,489.06 and 2,430.80 is: 3,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.56 : 5,489.06 = 2,430.80 : x
  2. Step 2: Convert to fraction form
    3,658.56/5,489.06 = 2,430.80/x
  3. Step 3: Cross multiply
    3,658.56x = 5,489.06 × 2,430.80
  4. Step 4: Simplify right side
    3,658.56x = 13,342,807.05
  5. Step 5: Solve for x
    x = 13,342,807.05/3,658.56
  6. Step 6: Final answer
    x = 3,647.01

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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.