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Finding the Fourth Proportional to 13,009.77, 17,946.72 and 7,975.17

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Solution

The fourth proportional to 13,009.77, 17,946.72 and 7,975.17 is: 11,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.77 : 17,946.72 = 7,975.17 : x
  2. Step 2: Convert to fraction form
    13,009.77/17,946.72 = 7,975.17/x
  3. Step 3: Cross multiply
    13,009.77x = 17,946.72 × 7,975.17
  4. Step 4: Simplify right side
    13,009.77x = 143,128,142.94
  5. Step 5: Solve for x
    x = 143,128,142.94/13,009.77
  6. Step 6: Final answer
    x = 11,001.59

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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.