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Finding the Fourth Proportional to 9,306.90, 12,829.34 and 7,885.34

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Solution

The fourth proportional to 9,306.90, 12,829.34 and 7,885.34 is: 10,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.90 : 12,829.34 = 7,885.34 : x
  2. Step 2: Convert to fraction form
    9,306.90/12,829.34 = 7,885.34/x
  3. Step 3: Cross multiply
    9,306.90x = 12,829.34 × 7,885.34
  4. Step 4: Simplify right side
    9,306.90x = 101,163,707.88
  5. Step 5: Solve for x
    x = 101,163,707.88/9,306.90
  6. Step 6: Final answer
    x = 10,869.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.