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Finding the Fourth Proportional to 7,706.85, 10,635.78 and 4,873.20

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Solution

The fourth proportional to 7,706.85, 10,635.78 and 4,873.20 is: 6,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.85 : 10,635.78 = 4,873.20 : x
  2. Step 2: Convert to fraction form
    7,706.85/10,635.78 = 4,873.20/x
  3. Step 3: Cross multiply
    7,706.85x = 10,635.78 × 4,873.20
  4. Step 4: Simplify right side
    7,706.85x = 51,830,283.10
  5. Step 5: Solve for x
    x = 51,830,283.10/7,706.85
  6. Step 6: Final answer
    x = 6,725.22

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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.