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Finding the Fourth Proportional to 19,873.80, 27,407.70 and 13,588.20

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Solution

The fourth proportional to 19,873.80, 27,407.70 and 13,588.20 is: 18,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.80 : 27,407.70 = 13,588.20 : x
  2. Step 2: Convert to fraction form
    19,873.80/27,407.70 = 13,588.20/x
  3. Step 3: Cross multiply
    19,873.80x = 27,407.70 × 13,588.20
  4. Step 4: Simplify right side
    19,873.80x = 372,421,309.14
  5. Step 5: Solve for x
    x = 372,421,309.14/19,873.80
  6. Step 6: Final answer
    x = 18,739.31

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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.