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Finding the Fourth Proportional to 13,009.95, 17,951.22 and 7,705.80

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Solution

The fourth proportional to 13,009.95, 17,951.22 and 7,705.80 is: 10,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.95 : 17,951.22 = 7,705.80 : x
  2. Step 2: Convert to fraction form
    13,009.95/17,951.22 = 7,705.80/x
  3. Step 3: Cross multiply
    13,009.95x = 17,951.22 × 7,705.80
  4. Step 4: Simplify right side
    13,009.95x = 138,328,511.08
  5. Step 5: Solve for x
    x = 138,328,511.08/13,009.95
  6. Step 6: Final answer
    x = 10,632.52

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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.