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Finding the Fourth Proportional to 10,050.90, 13,881.09 and 7,839.06

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Solution

The fourth proportional to 10,050.90, 13,881.09 and 7,839.06 is: 10,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.90 : 13,881.09 = 7,839.06 : x
  2. Step 2: Convert to fraction form
    10,050.90/13,881.09 = 7,839.06/x
  3. Step 3: Cross multiply
    10,050.90x = 13,881.09 × 7,839.06
  4. Step 4: Simplify right side
    10,050.90x = 108,814,697.38
  5. Step 5: Solve for x
    x = 108,814,697.38/10,050.90
  6. Step 6: Final answer
    x = 10,826.36

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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.