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Finding the Fourth Proportional to 7,862.06, 11,839.90 and 7,090.94

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Solution

The fourth proportional to 7,862.06, 11,839.90 and 7,090.94 is: 10,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.06 : 11,839.90 = 7,090.94 : x
  2. Step 2: Convert to fraction form
    7,862.06/11,839.90 = 7,090.94/x
  3. Step 3: Cross multiply
    7,862.06x = 11,839.90 × 7,090.94
  4. Step 4: Simplify right side
    7,862.06x = 83,956,020.51
  5. Step 5: Solve for x
    x = 83,956,020.51/7,862.06
  6. Step 6: Final answer
    x = 10,678.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.