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Finding the Fourth Proportional to 7,872.94, 11,747.73 and 7,045.53

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Solution

The fourth proportional to 7,872.94, 11,747.73 and 7,045.53 is: 10,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.94 : 11,747.73 = 7,045.53 : x
  2. Step 2: Convert to fraction form
    7,872.94/11,747.73 = 7,045.53/x
  3. Step 3: Cross multiply
    7,872.94x = 11,747.73 × 7,045.53
  4. Step 4: Simplify right side
    7,872.94x = 82,768,984.15
  5. Step 5: Solve for x
    x = 82,768,984.15/7,872.94
  6. Step 6: Final answer
    x = 10,513.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.