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Finding the Fourth Proportional to 20,521.70, 30,782.10 and 5,730.20

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Solution

The fourth proportional to 20,521.70, 30,782.10 and 5,730.20 is: 8,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.70 : 30,782.10 = 5,730.20 : x
  2. Step 2: Convert to fraction form
    20,521.70/30,782.10 = 5,730.20/x
  3. Step 3: Cross multiply
    20,521.70x = 30,782.10 × 5,730.20
  4. Step 4: Simplify right side
    20,521.70x = 176,387,589.42
  5. Step 5: Solve for x
    x = 176,387,589.42/20,521.70
  6. Step 6: Final answer
    x = 8,595.17

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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.