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Finding the Fourth Proportional to 13,014.76, 17,961.07 and 7,351.35

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Solution

The fourth proportional to 13,014.76, 17,961.07 and 7,351.35 is: 10,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.76 : 17,961.07 = 7,351.35 : x
  2. Step 2: Convert to fraction form
    13,014.76/17,961.07 = 7,351.35/x
  3. Step 3: Cross multiply
    13,014.76x = 17,961.07 × 7,351.35
  4. Step 4: Simplify right side
    13,014.76x = 132,038,111.94
  5. Step 5: Solve for x
    x = 132,038,111.94/13,014.76
  6. Step 6: Final answer
    x = 10,145.26

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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.