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Finding the Fourth Proportional to 32,857.60, 45,296.64 and 20,275.20

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Solution

The fourth proportional to 32,857.60, 45,296.64 and 20,275.20 is: 27,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.60 : 45,296.64 = 20,275.20 : x
  2. Step 2: Convert to fraction form
    32,857.60/45,296.64 = 20,275.20/x
  3. Step 3: Cross multiply
    32,857.60x = 45,296.64 × 20,275.20
  4. Step 4: Simplify right side
    32,857.60x = 918,398,435.33
  5. Step 5: Solve for x
    x = 918,398,435.33/32,857.60
  6. Step 6: Final answer
    x = 27,950.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.