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Finding the Fourth Proportional to 15,726.56, 23,555.81 and 7,394.09

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Solution

The fourth proportional to 15,726.56, 23,555.81 and 7,394.09 is: 11,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.56 : 23,555.81 = 7,394.09 : x
  2. Step 2: Convert to fraction form
    15,726.56/23,555.81 = 7,394.09/x
  3. Step 3: Cross multiply
    15,726.56x = 23,555.81 × 7,394.09
  4. Step 4: Simplify right side
    15,726.56x = 174,173,679.87
  5. Step 5: Solve for x
    x = 174,173,679.87/15,726.56
  6. Step 6: Final answer
    x = 11,075.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.