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Finding the Fourth Proportional to 9,333.80, 12,880.64 and 5,142.05

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Solution

The fourth proportional to 9,333.80, 12,880.64 and 5,142.05 is: 7,096.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.80 : 12,880.64 = 5,142.05 : x
  2. Step 2: Convert to fraction form
    9,333.80/12,880.64 = 5,142.05/x
  3. Step 3: Cross multiply
    9,333.80x = 12,880.64 × 5,142.05
  4. Step 4: Simplify right side
    9,333.80x = 66,232,894.91
  5. Step 5: Solve for x
    x = 66,232,894.91/9,333.80
  6. Step 6: Final answer
    x = 7,096.03

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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.