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Finding the Fourth Proportional to 6,900.09, 10,347.12 and 1,968.63

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Solution

The fourth proportional to 6,900.09, 10,347.12 and 1,968.63 is: 2,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.09 : 10,347.12 = 1,968.63 : x
  2. Step 2: Convert to fraction form
    6,900.09/10,347.12 = 1,968.63/x
  3. Step 3: Cross multiply
    6,900.09x = 10,347.12 × 1,968.63
  4. Step 4: Simplify right side
    6,900.09x = 20,369,650.85
  5. Step 5: Solve for x
    x = 20,369,650.85/6,900.09
  6. Step 6: Final answer
    x = 2,952.08

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1.5x scale

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.