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Finding the Fourth Proportional to 20,271.25, 27,966.49 and 12,714.49

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Solution

The fourth proportional to 20,271.25, 27,966.49 and 12,714.49 is: 17,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.25 : 27,966.49 = 12,714.49 : x
  2. Step 2: Convert to fraction form
    20,271.25/27,966.49 = 12,714.49/x
  3. Step 3: Cross multiply
    20,271.25x = 27,966.49 × 12,714.49
  4. Step 4: Simplify right side
    20,271.25x = 355,579,657.44
  5. Step 5: Solve for x
    x = 355,579,657.44/20,271.25
  6. Step 6: Final answer
    x = 17,541.08

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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.