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Finding the Fourth Proportional to 19,507.82, 26,903.07 and 13,129.07

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Solution

The fourth proportional to 19,507.82, 26,903.07 and 13,129.07 is: 18,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507.82 : 26,903.07 = 13,129.07 : x
  2. Step 2: Convert to fraction form
    19,507.82/26,903.07 = 13,129.07/x
  3. Step 3: Cross multiply
    19,507.82x = 26,903.07 × 13,129.07
  4. Step 4: Simplify right side
    19,507.82x = 353,212,154.73
  5. Step 5: Solve for x
    x = 353,212,154.73/19,507.82
  6. Step 6: Final answer
    x = 18,106.19

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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.