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Finding the Fourth Proportional to 10,134.88, 13,987.76 and 5,943.12

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Solution

The fourth proportional to 10,134.88, 13,987.76 and 5,943.12 is: 8,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.88 : 13,987.76 = 5,943.12 : x
  2. Step 2: Convert to fraction form
    10,134.88/13,987.76 = 5,943.12/x
  3. Step 3: Cross multiply
    10,134.88x = 13,987.76 × 5,943.12
  4. Step 4: Simplify right side
    10,134.88x = 83,130,936.21
  5. Step 5: Solve for x
    x = 83,130,936.21/10,134.88
  6. Step 6: Final answer
    x = 8,202.46

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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.