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Finding the Fourth Proportional to 5,640.99, 7,784.40 and 3,088.64

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Solution

The fourth proportional to 5,640.99, 7,784.40 and 3,088.64 is: 4,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.99 : 7,784.40 = 3,088.64 : x
  2. Step 2: Convert to fraction form
    5,640.99/7,784.40 = 3,088.64/x
  3. Step 3: Cross multiply
    5,640.99x = 7,784.40 × 3,088.64
  4. Step 4: Simplify right side
    5,640.99x = 24,043,217.09
  5. Step 5: Solve for x
    x = 24,043,217.09/5,640.99
  6. Step 6: Final answer
    x = 4,262.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.