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Finding the Fourth Proportional to 12,526.56, 18,759.90 and 6,966.09

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Solution

The fourth proportional to 12,526.56, 18,759.90 and 6,966.09 is: 10,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.56 : 18,759.90 = 6,966.09 : x
  2. Step 2: Convert to fraction form
    12,526.56/18,759.90 = 6,966.09/x
  3. Step 3: Cross multiply
    12,526.56x = 18,759.90 × 6,966.09
  4. Step 4: Simplify right side
    12,526.56x = 130,683,151.79
  5. Step 5: Solve for x
    x = 130,683,151.79/12,526.56
  6. Step 6: Final answer
    x = 10,432.49

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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.