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Finding the Fourth Proportional to 7,706.80, 10,648.56 and 6,860.08

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Solution

The fourth proportional to 7,706.80, 10,648.56 and 6,860.08 is: 9,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.80 : 10,648.56 = 6,860.08 : x
  2. Step 2: Convert to fraction form
    7,706.80/10,648.56 = 6,860.08/x
  3. Step 3: Cross multiply
    7,706.80x = 10,648.56 × 6,860.08
  4. Step 4: Simplify right side
    7,706.80x = 73,049,973.48
  5. Step 5: Solve for x
    x = 73,049,973.48/7,706.80
  6. Step 6: Final answer
    x = 9,478.64

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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.