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Finding the Fourth Proportional to 6,927, 10,390.50 and 3,031.41

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Solution

The fourth proportional to 6,927, 10,390.50 and 3,031.41 is: 4,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927 : 10,390.50 = 3,031.41 : x
  2. Step 2: Convert to fraction form
    6,927/10,390.50 = 3,031.41/x
  3. Step 3: Cross multiply
    6,927x = 10,390.50 × 3,031.41
  4. Step 4: Simplify right side
    6,927x = 31,497,865.61
  5. Step 5: Solve for x
    x = 31,497,865.61/6,927
  6. Step 6: Final answer
    x = 4,547.12

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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.