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Finding the Fourth Proportional to 11,607, 16,009.96 and 7,778.75

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Solution

The fourth proportional to 11,607, 16,009.96 and 7,778.75 is: 10,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607 : 16,009.96 = 7,778.75 : x
  2. Step 2: Convert to fraction form
    11,607/16,009.96 = 7,778.75/x
  3. Step 3: Cross multiply
    11,607x = 16,009.96 × 7,778.75
  4. Step 4: Simplify right side
    11,607x = 124,537,476.35
  5. Step 5: Solve for x
    x = 124,537,476.35/11,607
  6. Step 6: Final answer
    x = 10,729.51

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Double scale
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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.