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Finding the Fourth Proportional to 7,878, 10,839.12 and 7,683.60

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Solution

The fourth proportional to 7,878, 10,839.12 and 7,683.60 is: 10,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878 : 10,839.12 = 7,683.60 : x
  2. Step 2: Convert to fraction form
    7,878/10,839.12 = 7,683.60/x
  3. Step 3: Cross multiply
    7,878x = 10,839.12 × 7,683.60
  4. Step 4: Simplify right side
    7,878x = 83,283,462.43
  5. Step 5: Solve for x
    x = 83,283,462.43/7,878
  6. Step 6: Final answer
    x = 10,571.65

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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.