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Finding the Fourth Proportional to 5,011, 6,915.50 and 2,803

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Solution

The fourth proportional to 5,011, 6,915.50 and 2,803 is: 3,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011 : 6,915.50 = 2,803 : x
  2. Step 2: Convert to fraction form
    5,011/6,915.50 = 2,803/x
  3. Step 3: Cross multiply
    5,011x = 6,915.50 × 2,803
  4. Step 4: Simplify right side
    5,011x = 19,384,146.50
  5. Step 5: Solve for x
    x = 19,384,146.50/5,011
  6. Step 6: Final answer
    x = 3,868.32

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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.