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Finding the Fourth Proportional to 16,582.40, 24,880.80 and 7,812.80

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Solution

The fourth proportional to 16,582.40, 24,880.80 and 7,812.80 is: 11,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.40 : 24,880.80 = 7,812.80 : x
  2. Step 2: Convert to fraction form
    16,582.40/24,880.80 = 7,812.80/x
  3. Step 3: Cross multiply
    16,582.40x = 24,880.80 × 7,812.80
  4. Step 4: Simplify right side
    16,582.40x = 194,388,714.24
  5. Step 5: Solve for x
    x = 194,388,714.24/16,582.40
  6. Step 6: Final answer
    x = 11,722.59

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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.