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Finding the Fourth Proportional to 21,829.60, 32,746.80 and 7,981.60

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Solution

The fourth proportional to 21,829.60, 32,746.80 and 7,981.60 is: 11,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.60 : 32,746.80 = 7,981.60 : x
  2. Step 2: Convert to fraction form
    21,829.60/32,746.80 = 7,981.60/x
  3. Step 3: Cross multiply
    21,829.60x = 32,746.80 × 7,981.60
  4. Step 4: Simplify right side
    21,829.60x = 261,371,858.88
  5. Step 5: Solve for x
    x = 261,371,858.88/21,829.60
  6. Step 6: Final answer
    x = 11,973.28

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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.