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Finding the Fourth Proportional to 30,283, 45,419.12 and 9,217.96

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Solution

The fourth proportional to 30,283, 45,419.12 and 9,217.96 is: 13,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283 : 45,419.12 = 9,217.96 : x
  2. Step 2: Convert to fraction form
    30,283/45,419.12 = 9,217.96/x
  3. Step 3: Cross multiply
    30,283x = 45,419.12 × 9,217.96
  4. Step 4: Simplify right side
    30,283x = 418,671,631.40
  5. Step 5: Solve for x
    x = 418,671,631.40/30,283
  6. Step 6: Final answer
    x = 13,825.30

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1.5x scale

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.