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Finding the Fourth Proportional to 5,640.77, 7,784.00 and 3,122.70

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Solution

The fourth proportional to 5,640.77, 7,784.00 and 3,122.70 is: 4,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.77 : 7,784.00 = 3,122.70 : x
  2. Step 2: Convert to fraction form
    5,640.77/7,784.00 = 3,122.70/x
  3. Step 3: Cross multiply
    5,640.77x = 7,784.00 × 3,122.70
  4. Step 4: Simplify right side
    5,640.77x = 24,307,085.15
  5. Step 5: Solve for x
    x = 24,307,085.15/5,640.77
  6. Step 6: Final answer
    x = 4,309.18

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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.