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Finding the Fourth Proportional to 19,507.50, 26,911.78 and 11,437.03

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Solution

The fourth proportional to 19,507.50, 26,911.78 and 11,437.03 is: 15,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507.50 : 26,911.78 = 11,437.03 : x
  2. Step 2: Convert to fraction form
    19,507.50/26,911.78 = 11,437.03/x
  3. Step 3: Cross multiply
    19,507.50x = 26,911.78 × 11,437.03
  4. Step 4: Simplify right side
    19,507.50x = 307,790,840.26
  5. Step 5: Solve for x
    x = 307,790,840.26/19,507.50
  6. Step 6: Final answer
    x = 15,778.08

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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.