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Finding the Fourth Proportional to 20,281, 27,987.70 and 11,328.51

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Solution

The fourth proportional to 20,281, 27,987.70 and 11,328.51 is: 15,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281 : 27,987.70 = 11,328.51 : x
  2. Step 2: Convert to fraction form
    20,281/27,987.70 = 11,328.51/x
  3. Step 3: Cross multiply
    20,281x = 27,987.70 × 11,328.51
  4. Step 4: Simplify right side
    20,281x = 317,058,939.33
  5. Step 5: Solve for x
    x = 317,058,939.33/20,281
  6. Step 6: Final answer
    x = 15,633.30

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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.