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Finding the Fourth Proportional to 11,455.61, 15,799.73 and 7,677.54

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Solution

The fourth proportional to 11,455.61, 15,799.73 and 7,677.54 is: 10,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.61 : 15,799.73 = 7,677.54 : x
  2. Step 2: Convert to fraction form
    11,455.61/15,799.73 = 7,677.54/x
  3. Step 3: Cross multiply
    11,455.61x = 15,799.73 × 7,677.54
  4. Step 4: Simplify right side
    11,455.61x = 121,303,020.68
  5. Step 5: Solve for x
    x = 121,303,020.68/11,455.61
  6. Step 6: Final answer
    x = 10,588.97

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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.