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Finding the Fourth Proportional to 30,421.82, 45,633 and 10,700.53

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Solution

The fourth proportional to 30,421.82, 45,633 and 10,700.53 is: 16,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,421.82 : 45,633 = 10,700.53 : x
  2. Step 2: Convert to fraction form
    30,421.82/45,633 = 10,700.53/x
  3. Step 3: Cross multiply
    30,421.82x = 45,633 × 10,700.53
  4. Step 4: Simplify right side
    30,421.82x = 488,297,285.49
  5. Step 5: Solve for x
    x = 488,297,285.49/30,421.82
  6. Step 6: Final answer
    x = 16,050.89

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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.