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Finding the Fourth Proportional to 30,464.34, 45,703.71 and 9,687.84

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Solution

The fourth proportional to 30,464.34, 45,703.71 and 9,687.84 is: 14,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464.34 : 45,703.71 = 9,687.84 : x
  2. Step 2: Convert to fraction form
    30,464.34/45,703.71 = 9,687.84/x
  3. Step 3: Cross multiply
    30,464.34x = 45,703.71 × 9,687.84
  4. Step 4: Simplify right side
    30,464.34x = 442,770,229.89
  5. Step 5: Solve for x
    x = 442,770,229.89/30,464.34
  6. Step 6: Final answer
    x = 14,534.05

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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.