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Finding the Fourth Proportional to 38,467.40, 57,726.90 and 13,507.40

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Solution

The fourth proportional to 38,467.40, 57,726.90 and 13,507.40 is: 20,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,467.40 : 57,726.90 = 13,507.40 : x
  2. Step 2: Convert to fraction form
    38,467.40/57,726.90 = 13,507.40/x
  3. Step 3: Cross multiply
    38,467.40x = 57,726.90 × 13,507.40
  4. Step 4: Simplify right side
    38,467.40x = 779,740,329.06
  5. Step 5: Solve for x
    x = 779,740,329.06/38,467.40
  6. Step 6: Final answer
    x = 20,270.16

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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.