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Finding the Fourth Proportional to 21,123.60, 31,665.60 and 7,984.80

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Solution

The fourth proportional to 21,123.60, 31,665.60 and 7,984.80 is: 11,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.60 : 31,665.60 = 7,984.80 : x
  2. Step 2: Convert to fraction form
    21,123.60/31,665.60 = 7,984.80/x
  3. Step 3: Cross multiply
    21,123.60x = 31,665.60 × 7,984.80
  4. Step 4: Simplify right side
    21,123.60x = 252,843,482.88
  5. Step 5: Solve for x
    x = 252,843,482.88/21,123.60
  6. Step 6: Final answer
    x = 11,969.72

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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.