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Finding the Fourth Proportional to 21,617.56, 32,417.34 and 6,821.56

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Solution

The fourth proportional to 21,617.56, 32,417.34 and 6,821.56 is: 10,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,617.56 : 32,417.34 = 6,821.56 : x
  2. Step 2: Convert to fraction form
    21,617.56/32,417.34 = 6,821.56/x
  3. Step 3: Cross multiply
    21,617.56x = 32,417.34 × 6,821.56
  4. Step 4: Simplify right side
    21,617.56x = 221,136,829.85
  5. Step 5: Solve for x
    x = 221,136,829.85/21,617.56
  6. Step 6: Final answer
    x = 10,229.50

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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.