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Finding the Fourth Proportional to 6,503, 9,754.86 and 1,886.36

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Solution

The fourth proportional to 6,503, 9,754.86 and 1,886.36 is: 2,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503 : 9,754.86 = 1,886.36 : x
  2. Step 2: Convert to fraction form
    6,503/9,754.86 = 1,886.36/x
  3. Step 3: Cross multiply
    6,503x = 9,754.86 × 1,886.36
  4. Step 4: Simplify right side
    6,503x = 18,401,177.71
  5. Step 5: Solve for x
    x = 18,401,177.71/6,503
  6. Step 6: Final answer
    x = 2,829.64

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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.