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Finding the Fourth Proportional to 13,027.68, 17,978.16 and 7,059.36

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Solution

The fourth proportional to 13,027.68, 17,978.16 and 7,059.36 is: 9,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.68 : 17,978.16 = 7,059.36 : x
  2. Step 2: Convert to fraction form
    13,027.68/17,978.16 = 7,059.36/x
  3. Step 3: Cross multiply
    13,027.68x = 17,978.16 × 7,059.36
  4. Step 4: Simplify right side
    13,027.68x = 126,914,303.58
  5. Step 5: Solve for x
    x = 126,914,303.58/13,027.68
  6. Step 6: Final answer
    x = 9,741.90

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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.