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Finding the Fourth Proportional to 30,635.64, 45,870.84 and 21,255.84

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Solution

The fourth proportional to 30,635.64, 45,870.84 and 21,255.84 is: 31,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,635.64 : 45,870.84 = 21,255.84 : x
  2. Step 2: Convert to fraction form
    30,635.64/45,870.84 = 21,255.84/x
  3. Step 3: Cross multiply
    30,635.64x = 45,870.84 × 21,255.84
  4. Step 4: Simplify right side
    30,635.64x = 975,023,235.71
  5. Step 5: Solve for x
    x = 975,023,235.71/30,635.64
  6. Step 6: Final answer
    x = 31,826.44

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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.