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Finding the Fourth Proportional to 21,572.65, 32,358.95 and 6,782.86

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Solution

The fourth proportional to 21,572.65, 32,358.95 and 6,782.86 is: 10,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572.65 : 32,358.95 = 6,782.86 : x
  2. Step 2: Convert to fraction form
    21,572.65/32,358.95 = 6,782.86/x
  3. Step 3: Cross multiply
    21,572.65x = 32,358.95 × 6,782.86
  4. Step 4: Simplify right side
    21,572.65x = 219,486,227.60
  5. Step 5: Solve for x
    x = 219,486,227.60/21,572.65
  6. Step 6: Final answer
    x = 10,174.28

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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.