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Finding the Fourth Proportional to 6,897.50, 10,345 and 2,950.98

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Solution

The fourth proportional to 6,897.50, 10,345 and 2,950.98 is: 4,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.50 : 10,345 = 2,950.98 : x
  2. Step 2: Convert to fraction form
    6,897.50/10,345 = 2,950.98/x
  3. Step 3: Cross multiply
    6,897.50x = 10,345 × 2,950.98
  4. Step 4: Simplify right side
    6,897.50x = 30,527,888.10
  5. Step 5: Solve for x
    x = 30,527,888.10/6,897.50
  6. Step 6: Final answer
    x = 4,425.94

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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.