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Finding the Fourth Proportional to 8,525, 11,764.50 and 4,986.92

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Solution

The fourth proportional to 8,525, 11,764.50 and 4,986.92 is: 6,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525 : 11,764.50 = 4,986.92 : x
  2. Step 2: Convert to fraction form
    8,525/11,764.50 = 4,986.92/x
  3. Step 3: Cross multiply
    8,525x = 11,764.50 × 4,986.92
  4. Step 4: Simplify right side
    8,525x = 58,668,620.34
  5. Step 5: Solve for x
    x = 58,668,620.34/8,525
  6. Step 6: Final answer
    x = 6,881.95

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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.