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Finding the Fourth Proportional to 30,572, 45,865.68 and 8,684

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Solution

The fourth proportional to 30,572, 45,865.68 and 8,684 is: 13,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,572 : 45,865.68 = 8,684 : x
  2. Step 2: Convert to fraction form
    30,572/45,865.68 = 8,684/x
  3. Step 3: Cross multiply
    30,572x = 45,865.68 × 8,684
  4. Step 4: Simplify right side
    30,572x = 398,297,565.12
  5. Step 5: Solve for x
    x = 398,297,565.12/30,572
  6. Step 6: Final answer
    x = 13,028.18

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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.