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Finding the Fourth Proportional to 30,236.84, 45,354 and 9,176.12

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Solution

The fourth proportional to 30,236.84, 45,354 and 9,176.12 is: 13,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,236.84 : 45,354 = 9,176.12 : x
  2. Step 2: Convert to fraction form
    30,236.84/45,354 = 9,176.12/x
  3. Step 3: Cross multiply
    30,236.84x = 45,354 × 9,176.12
  4. Step 4: Simplify right side
    30,236.84x = 416,173,746.48
  5. Step 5: Solve for x
    x = 416,173,746.48/30,236.84
  6. Step 6: Final answer
    x = 13,763.80

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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.