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Finding the Fourth Proportional to 21,862.48, 32,800.58 and 7,822.15

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Solution

The fourth proportional to 21,862.48, 32,800.58 and 7,822.15 is: 11,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.48 : 32,800.58 = 7,822.15 : x
  2. Step 2: Convert to fraction form
    21,862.48/32,800.58 = 7,822.15/x
  3. Step 3: Cross multiply
    21,862.48x = 32,800.58 × 7,822.15
  4. Step 4: Simplify right side
    21,862.48x = 256,571,056.85
  5. Step 5: Solve for x
    x = 256,571,056.85/21,862.48
  6. Step 6: Final answer
    x = 11,735.68

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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.