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Finding the Fourth Proportional to 13,009.90, 17,955.99 and 7,707.34

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Solution

The fourth proportional to 13,009.90, 17,955.99 and 7,707.34 is: 10,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.90 : 17,955.99 = 7,707.34 : x
  2. Step 2: Convert to fraction form
    13,009.90/17,955.99 = 7,707.34/x
  3. Step 3: Cross multiply
    13,009.90x = 17,955.99 × 7,707.34
  4. Step 4: Simplify right side
    13,009.90x = 138,392,919.97
  5. Step 5: Solve for x
    x = 138,392,919.97/13,009.90
  6. Step 6: Final answer
    x = 10,637.51

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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.