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Finding the Fourth Proportional to 12,085.84, 16,668.84 and 9,986.32

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Solution

The fourth proportional to 12,085.84, 16,668.84 and 9,986.32 is: 13,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.84 : 16,668.84 = 9,986.32 : x
  2. Step 2: Convert to fraction form
    12,085.84/16,668.84 = 9,986.32/x
  3. Step 3: Cross multiply
    12,085.84x = 16,668.84 × 9,986.32
  4. Step 4: Simplify right side
    12,085.84x = 166,460,370.27
  5. Step 5: Solve for x
    x = 166,460,370.27/12,085.84
  6. Step 6: Final answer
    x = 13,773.17

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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.