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Finding the Fourth Proportional to 13,009.51, 17,960.85 and 8,541.07

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Solution

The fourth proportional to 13,009.51, 17,960.85 and 8,541.07 is: 11,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.51 : 17,960.85 = 8,541.07 : x
  2. Step 2: Convert to fraction form
    13,009.51/17,960.85 = 8,541.07/x
  3. Step 3: Cross multiply
    13,009.51x = 17,960.85 × 8,541.07
  4. Step 4: Simplify right side
    13,009.51x = 153,404,877.11
  5. Step 5: Solve for x
    x = 153,404,877.11/13,009.51
  6. Step 6: Final answer
    x = 11,791.75

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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.