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Finding the Fourth Proportional to 13,047.36, 18,004.86 and 7,078.83

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Solution

The fourth proportional to 13,047.36, 18,004.86 and 7,078.83 is: 9,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.36 : 18,004.86 = 7,078.83 : x
  2. Step 2: Convert to fraction form
    13,047.36/18,004.86 = 7,078.83/x
  3. Step 3: Cross multiply
    13,047.36x = 18,004.86 × 7,078.83
  4. Step 4: Simplify right side
    13,047.36x = 127,453,343.11
  5. Step 5: Solve for x
    x = 127,453,343.11/13,047.36
  6. Step 6: Final answer
    x = 9,768.52

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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.