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Finding the Fourth Proportional to 13,023.78, 17,972.73 and 7,055.31

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Solution

The fourth proportional to 13,023.78, 17,972.73 and 7,055.31 is: 9,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.78 : 17,972.73 = 7,055.31 : x
  2. Step 2: Convert to fraction form
    13,023.78/17,972.73 = 7,055.31/x
  3. Step 3: Cross multiply
    13,023.78x = 17,972.73 × 7,055.31
  4. Step 4: Simplify right side
    13,023.78x = 126,803,181.70
  5. Step 5: Solve for x
    x = 126,803,181.70/13,023.78
  6. Step 6: Final answer
    x = 9,736.28

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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.