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Finding the Fourth Proportional to 30,715.61, 46,074.29 and 8,530.61

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Solution

The fourth proportional to 30,715.61, 46,074.29 and 8,530.61 is: 12,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.61 : 46,074.29 = 8,530.61 : x
  2. Step 2: Convert to fraction form
    30,715.61/46,074.29 = 8,530.61/x
  3. Step 3: Cross multiply
    30,715.61x = 46,074.29 × 8,530.61
  4. Step 4: Simplify right side
    30,715.61x = 393,041,525.99
  5. Step 5: Solve for x
    x = 393,041,525.99/30,715.61
  6. Step 6: Final answer
    x = 12,796.15

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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.