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Finding the Fourth Proportional to 30,286.50, 45,430.16 and 9,510

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Solution

The fourth proportional to 30,286.50, 45,430.16 and 9,510 is: 14,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.50 : 45,430.16 = 9,510 : x
  2. Step 2: Convert to fraction form
    30,286.50/45,430.16 = 9,510/x
  3. Step 3: Cross multiply
    30,286.50x = 45,430.16 × 9,510
  4. Step 4: Simplify right side
    30,286.50x = 432,040,821.60
  5. Step 5: Solve for x
    x = 432,040,821.60/30,286.50
  6. Step 6: Final answer
    x = 14,265.13

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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.