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Finding the Fourth Proportional to 5,307.94, 7,940.61 and 4,128.82

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Solution

The fourth proportional to 5,307.94, 7,940.61 and 4,128.82 is: 6,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.94 : 7,940.61 = 4,128.82 : x
  2. Step 2: Convert to fraction form
    5,307.94/7,940.61 = 4,128.82/x
  3. Step 3: Cross multiply
    5,307.94x = 7,940.61 × 4,128.82
  4. Step 4: Simplify right side
    5,307.94x = 32,785,349.38
  5. Step 5: Solve for x
    x = 32,785,349.38/5,307.94
  6. Step 6: Final answer
    x = 6,176.66

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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.