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Finding the Fourth Proportional to 20,871.98, 28,802.30 and 11,797.16

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Solution

The fourth proportional to 20,871.98, 28,802.30 and 11,797.16 is: 16,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.98 : 28,802.30 = 11,797.16 : x
  2. Step 2: Convert to fraction form
    20,871.98/28,802.30 = 11,797.16/x
  3. Step 3: Cross multiply
    20,871.98x = 28,802.30 × 11,797.16
  4. Step 4: Simplify right side
    20,871.98x = 339,785,341.47
  5. Step 5: Solve for x
    x = 339,785,341.47/20,871.98
  6. Step 6: Final answer
    x = 16,279.50

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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.