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Finding the Fourth Proportional to 30,426, 45,646.76 and 21,558.84

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Solution

The fourth proportional to 30,426, 45,646.76 and 21,558.84 is: 32,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,426 : 45,646.76 = 21,558.84 : x
  2. Step 2: Convert to fraction form
    30,426/45,646.76 = 21,558.84/x
  3. Step 3: Cross multiply
    30,426x = 45,646.76 × 21,558.84
  4. Step 4: Simplify right side
    30,426x = 984,091,195.36
  5. Step 5: Solve for x
    x = 984,091,195.36/30,426
  6. Step 6: Final answer
    x = 32,343.76

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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.