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Finding the Fourth Proportional to 37,644.40, 56,457.60 and 21,815.20

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Solution

The fourth proportional to 37,644.40, 56,457.60 and 21,815.20 is: 32,717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644.40 : 56,457.60 = 21,815.20 : x
  2. Step 2: Convert to fraction form
    37,644.40/56,457.60 = 21,815.20/x
  3. Step 3: Cross multiply
    37,644.40x = 56,457.60 × 21,815.20
  4. Step 4: Simplify right side
    37,644.40x = 1,231,633,835.52
  5. Step 5: Solve for x
    x = 1,231,633,835.52/37,644.40
  6. Step 6: Final answer
    x = 32,717.58

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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.