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Finding the Fourth Proportional to 7,897.94, 11,795.71 and 7,156.07

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Solution

The fourth proportional to 7,897.94, 11,795.71 and 7,156.07 is: 10,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.94 : 11,795.71 = 7,156.07 : x
  2. Step 2: Convert to fraction form
    7,897.94/11,795.71 = 7,156.07/x
  3. Step 3: Cross multiply
    7,897.94x = 11,795.71 × 7,156.07
  4. Step 4: Simplify right side
    7,897.94x = 84,410,890.68
  5. Step 5: Solve for x
    x = 84,410,890.68/7,897.94
  6. Step 6: Final answer
    x = 10,687.71

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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.