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Finding the Fourth Proportional to 8,984.78, 13,460.73 and 6,513.47

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Solution

The fourth proportional to 8,984.78, 13,460.73 and 6,513.47 is: 9,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.78 : 13,460.73 = 6,513.47 : x
  2. Step 2: Convert to fraction form
    8,984.78/13,460.73 = 6,513.47/x
  3. Step 3: Cross multiply
    8,984.78x = 13,460.73 × 6,513.47
  4. Step 4: Simplify right side
    8,984.78x = 87,675,993.73
  5. Step 5: Solve for x
    x = 87,675,993.73/8,984.78
  6. Step 6: Final answer
    x = 9,758.28

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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.