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Finding the Fourth Proportional to 20,521.70, 30,784.30 and 6,477.98

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Solution

The fourth proportional to 20,521.70, 30,784.30 and 6,477.98 is: 9,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.70 : 30,784.30 = 6,477.98 : x
  2. Step 2: Convert to fraction form
    20,521.70/30,784.30 = 6,477.98/x
  3. Step 3: Cross multiply
    20,521.70x = 30,784.30 × 6,477.98
  4. Step 4: Simplify right side
    20,521.70x = 199,419,946.04
  5. Step 5: Solve for x
    x = 199,419,946.04/20,521.70
  6. Step 6: Final answer
    x = 9,717.51

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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.