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Finding the Fourth Proportional to 8,506, 12,756.57 and 3,576.75

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Solution

The fourth proportional to 8,506, 12,756.57 and 3,576.75 is: 5,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506 : 12,756.57 = 3,576.75 : x
  2. Step 2: Convert to fraction form
    8,506/12,756.57 = 3,576.75/x
  3. Step 3: Cross multiply
    8,506x = 12,756.57 × 3,576.75
  4. Step 4: Simplify right side
    8,506x = 45,627,061.75
  5. Step 5: Solve for x
    x = 45,627,061.75/8,506
  6. Step 6: Final answer
    x = 5,364.10

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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.