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Finding the Fourth Proportional to 12,085.80, 16,677 and 7,308.63

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Solution

The fourth proportional to 12,085.80, 16,677 and 7,308.63 is: 10,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.80 : 16,677 = 7,308.63 : x
  2. Step 2: Convert to fraction form
    12,085.80/16,677 = 7,308.63/x
  3. Step 3: Cross multiply
    12,085.80x = 16,677 × 7,308.63
  4. Step 4: Simplify right side
    12,085.80x = 121,886,022.51
  5. Step 5: Solve for x
    x = 121,886,022.51/12,085.80
  6. Step 6: Final answer
    x = 10,085.06

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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.