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Finding the Fourth Proportional to 7,860.16, 11,735.69 and 7,072.84

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Solution

The fourth proportional to 7,860.16, 11,735.69 and 7,072.84 is: 10,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.16 : 11,735.69 = 7,072.84 : x
  2. Step 2: Convert to fraction form
    7,860.16/11,735.69 = 7,072.84/x
  3. Step 3: Cross multiply
    7,860.16x = 11,735.69 × 7,072.84
  4. Step 4: Simplify right side
    7,860.16x = 83,004,657.66
  5. Step 5: Solve for x
    x = 83,004,657.66/7,860.16
  6. Step 6: Final answer
    x = 10,560.17

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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.