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Finding the Fourth Proportional to 4,968, 6,857.28 and 3,312

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Solution

The fourth proportional to 4,968, 6,857.28 and 3,312 is: 4,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968 : 6,857.28 = 3,312 : x
  2. Step 2: Convert to fraction form
    4,968/6,857.28 = 3,312/x
  3. Step 3: Cross multiply
    4,968x = 6,857.28 × 3,312
  4. Step 4: Simplify right side
    4,968x = 22,711,311.36
  5. Step 5: Solve for x
    x = 22,711,311.36/4,968
  6. Step 6: Final answer
    x = 4,571.52

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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.