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Finding the Fourth Proportional to 8,513.81, 11,745.83 and 6,281

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Solution

The fourth proportional to 8,513.81, 11,745.83 and 6,281 is: 8,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.81 : 11,745.83 = 6,281 : x
  2. Step 2: Convert to fraction form
    8,513.81/11,745.83 = 6,281/x
  3. Step 3: Cross multiply
    8,513.81x = 11,745.83 × 6,281
  4. Step 4: Simplify right side
    8,513.81x = 73,775,526.83
  5. Step 5: Solve for x
    x = 73,775,526.83/8,513.81
  6. Step 6: Final answer
    x = 8,665.40

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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.