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Finding the Fourth Proportional to 21,782.90, 32,668.68 and 6,984.20

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Solution

The fourth proportional to 21,782.90, 32,668.68 and 6,984.20 is: 10,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.90 : 32,668.68 = 6,984.20 : x
  2. Step 2: Convert to fraction form
    21,782.90/32,668.68 = 6,984.20/x
  3. Step 3: Cross multiply
    21,782.90x = 32,668.68 × 6,984.20
  4. Step 4: Simplify right side
    21,782.90x = 228,164,594.86
  5. Step 5: Solve for x
    x = 228,164,594.86/21,782.90
  6. Step 6: Final answer
    x = 10,474.48

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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.