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Finding the Fourth Proportional to 30,776.84, 42,472.08 and 16,629.68

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Solution

The fourth proportional to 30,776.84, 42,472.08 and 16,629.68 is: 22,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.84 : 42,472.08 = 16,629.68 : x
  2. Step 2: Convert to fraction form
    30,776.84/42,472.08 = 16,629.68/x
  3. Step 3: Cross multiply
    30,776.84x = 42,472.08 × 16,629.68
  4. Step 4: Simplify right side
    30,776.84x = 706,297,099.33
  5. Step 5: Solve for x
    x = 706,297,099.33/30,776.84
  6. Step 6: Final answer
    x = 22,948.98

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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.