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Finding the Fourth Proportional to 18,386.77, 27,580.17 and 7,847.93

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Solution

The fourth proportional to 18,386.77, 27,580.17 and 7,847.93 is: 11,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,386.77 : 27,580.17 = 7,847.93 : x
  2. Step 2: Convert to fraction form
    18,386.77/27,580.17 = 7,847.93/x
  3. Step 3: Cross multiply
    18,386.77x = 27,580.17 × 7,847.93
  4. Step 4: Simplify right side
    18,386.77x = 216,447,204.31
  5. Step 5: Solve for x
    x = 216,447,204.31/18,386.77
  6. Step 6: Final answer
    x = 11,771.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.