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Finding the Fourth Proportional to 30,271, 45,406.52 and 8,383

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Solution

The fourth proportional to 30,271, 45,406.52 and 8,383 is: 12,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271 : 45,406.52 = 8,383 : x
  2. Step 2: Convert to fraction form
    30,271/45,406.52 = 8,383/x
  3. Step 3: Cross multiply
    30,271x = 45,406.52 × 8,383
  4. Step 4: Simplify right side
    30,271x = 380,642,857.16
  5. Step 5: Solve for x
    x = 380,642,857.16/30,271
  6. Step 6: Final answer
    x = 12,574.51

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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.