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Finding the Fourth Proportional to 6,900.34, 10,347.49 and 1,968.88

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Solution

The fourth proportional to 6,900.34, 10,347.49 and 1,968.88 is: 2,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.34 : 10,347.49 = 1,968.88 : x
  2. Step 2: Convert to fraction form
    6,900.34/10,347.49 = 1,968.88/x
  3. Step 3: Cross multiply
    6,900.34x = 10,347.49 × 1,968.88
  4. Step 4: Simplify right side
    6,900.34x = 20,372,966.11
  5. Step 5: Solve for x
    x = 20,372,966.11/6,900.34
  6. Step 6: Final answer
    x = 2,952.46

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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.