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Finding the Fourth Proportional to 30,764.53, 42,455.07 and 16,617.38

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Solution

The fourth proportional to 30,764.53, 42,455.07 and 16,617.38 is: 22,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.53 : 42,455.07 = 16,617.38 : x
  2. Step 2: Convert to fraction form
    30,764.53/42,455.07 = 16,617.38/x
  3. Step 3: Cross multiply
    30,764.53x = 42,455.07 × 16,617.38
  4. Step 4: Simplify right side
    30,764.53x = 705,491,818.84
  5. Step 5: Solve for x
    x = 705,491,818.84/30,764.53
  6. Step 6: Final answer
    x = 22,931.99

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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.