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Finding the Fourth Proportional to 17,871.80, 26,807.70 and 13,206.20

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Solution

The fourth proportional to 17,871.80, 26,807.70 and 13,206.20 is: 19,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.80 : 26,807.70 = 13,206.20 : x
  2. Step 2: Convert to fraction form
    17,871.80/26,807.70 = 13,206.20/x
  3. Step 3: Cross multiply
    17,871.80x = 26,807.70 × 13,206.20
  4. Step 4: Simplify right side
    17,871.80x = 354,027,847.74
  5. Step 5: Solve for x
    x = 354,027,847.74/17,871.80
  6. Step 6: Final answer
    x = 19,809.30

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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.