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Finding the Fourth Proportional to 21,012.80, 31,528.88 and 8,541.44

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Solution

The fourth proportional to 21,012.80, 31,528.88 and 8,541.44 is: 12,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.80 : 31,528.88 = 8,541.44 : x
  2. Step 2: Convert to fraction form
    21,012.80/31,528.88 = 8,541.44/x
  3. Step 3: Cross multiply
    21,012.80x = 31,528.88 × 8,541.44
  4. Step 4: Simplify right side
    21,012.80x = 269,302,036.79
  5. Step 5: Solve for x
    x = 269,302,036.79/21,012.80
  6. Step 6: Final answer
    x = 12,816.09

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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.