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Finding the Fourth Proportional to 5,589.69, 8,383.19 and 1,640.00

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Solution

The fourth proportional to 5,589.69, 8,383.19 and 1,640.00 is: 2,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.69 : 8,383.19 = 1,640.00 : x
  2. Step 2: Convert to fraction form
    5,589.69/8,383.19 = 1,640.00/x
  3. Step 3: Cross multiply
    5,589.69x = 8,383.19 × 1,640.00
  4. Step 4: Simplify right side
    5,589.69x = 13,748,381.48
  5. Step 5: Solve for x
    x = 13,748,381.48/5,589.69
  6. Step 6: Final answer
    x = 2,459.60

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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.