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Finding the Fourth Proportional to 10,812.75, 16,219.14 and 4,656.75

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Solution

The fourth proportional to 10,812.75, 16,219.14 and 4,656.75 is: 6,985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.75 : 16,219.14 = 4,656.75 : x
  2. Step 2: Convert to fraction form
    10,812.75/16,219.14 = 4,656.75/x
  3. Step 3: Cross multiply
    10,812.75x = 16,219.14 × 4,656.75
  4. Step 4: Simplify right side
    10,812.75x = 75,528,480.20
  5. Step 5: Solve for x
    x = 75,528,480.20/10,812.75
  6. Step 6: Final answer
    x = 6,985.13

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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.