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Finding the Fourth Proportional to 30,538.53, 45,812.75 and 10,812.80

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Solution

The fourth proportional to 30,538.53, 45,812.75 and 10,812.80 is: 16,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.53 : 45,812.75 = 10,812.80 : x
  2. Step 2: Convert to fraction form
    30,538.53/45,812.75 = 10,812.80/x
  3. Step 3: Cross multiply
    30,538.53x = 45,812.75 × 10,812.80
  4. Step 4: Simplify right side
    30,538.53x = 495,363,820.07
  5. Step 5: Solve for x
    x = 495,363,820.07/30,538.53
  6. Step 6: Final answer
    x = 16,220.95

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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.