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Finding the Fourth Proportional to 19,509.75, 26,914.59 and 12,431.76

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Solution

The fourth proportional to 19,509.75, 26,914.59 and 12,431.76 is: 17,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.75 : 26,914.59 = 12,431.76 : x
  2. Step 2: Convert to fraction form
    19,509.75/26,914.59 = 12,431.76/x
  3. Step 3: Cross multiply
    19,509.75x = 26,914.59 × 12,431.76
  4. Step 4: Simplify right side
    19,509.75x = 334,595,723.38
  5. Step 5: Solve for x
    x = 334,595,723.38/19,509.75
  6. Step 6: Final answer
    x = 17,150.18

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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.