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Finding the Fourth Proportional to 30,297.84, 45,489.12 and 15,516.96

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Solution

The fourth proportional to 30,297.84, 45,489.12 and 15,516.96 is: 23,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.84 : 45,489.12 = 15,516.96 : x
  2. Step 2: Convert to fraction form
    30,297.84/45,489.12 = 15,516.96/x
  3. Step 3: Cross multiply
    30,297.84x = 45,489.12 × 15,516.96
  4. Step 4: Simplify right side
    30,297.84x = 705,852,855.48
  5. Step 5: Solve for x
    x = 705,852,855.48/30,297.84
  6. Step 6: Final answer
    x = 23,297.13

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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.