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Finding the Fourth Proportional to 30,700.16, 46,045.66 and 8,511.22

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Solution

The fourth proportional to 30,700.16, 46,045.66 and 8,511.22 is: 12,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.16 : 46,045.66 = 8,511.22 : x
  2. Step 2: Convert to fraction form
    30,700.16/46,045.66 = 8,511.22/x
  3. Step 3: Cross multiply
    30,700.16x = 46,045.66 × 8,511.22
  4. Step 4: Simplify right side
    30,700.16x = 391,904,742.31
  5. Step 5: Solve for x
    x = 391,904,742.31/30,700.16
  6. Step 6: Final answer
    x = 12,765.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.