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Finding the Fourth Proportional to 30,492.96, 45,717.84 and 11,757.12

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Solution

The fourth proportional to 30,492.96, 45,717.84 and 11,757.12 is: 17,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.96 : 45,717.84 = 11,757.12 : x
  2. Step 2: Convert to fraction form
    30,492.96/45,717.84 = 11,757.12/x
  3. Step 3: Cross multiply
    30,492.96x = 45,717.84 × 11,757.12
  4. Step 4: Simplify right side
    30,492.96x = 537,510,131.02
  5. Step 5: Solve for x
    x = 537,510,131.02/30,492.96
  6. Step 6: Final answer
    x = 17,627.35

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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.