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Finding the Fourth Proportional to 7,772.70, 11,661.39 and 4,656.18

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Solution

The fourth proportional to 7,772.70, 11,661.39 and 4,656.18 is: 6,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.70 : 11,661.39 = 4,656.18 : x
  2. Step 2: Convert to fraction form
    7,772.70/11,661.39 = 4,656.18/x
  3. Step 3: Cross multiply
    7,772.70x = 11,661.39 × 4,656.18
  4. Step 4: Simplify right side
    7,772.70x = 54,297,530.89
  5. Step 5: Solve for x
    x = 54,297,530.89/7,772.70
  6. Step 6: Final answer
    x = 6,985.67

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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.