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Finding the Fourth Proportional to 15,980.19, 22,051.85 and 8,811.29

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Solution

The fourth proportional to 15,980.19, 22,051.85 and 8,811.29 is: 12,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,980.19 : 22,051.85 = 8,811.29 : x
  2. Step 2: Convert to fraction form
    15,980.19/22,051.85 = 8,811.29/x
  3. Step 3: Cross multiply
    15,980.19x = 22,051.85 × 8,811.29
  4. Step 4: Simplify right side
    15,980.19x = 194,305,091.07
  5. Step 5: Solve for x
    x = 194,305,091.07/15,980.19
  6. Step 6: Final answer
    x = 12,159.12

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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.