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Finding the Fourth Proportional to 7,812.93, 11,721.48 and 4,114.20

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Solution

The fourth proportional to 7,812.93, 11,721.48 and 4,114.20 is: 6,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.93 : 11,721.48 = 4,114.20 : x
  2. Step 2: Convert to fraction form
    7,812.93/11,721.48 = 4,114.20/x
  3. Step 3: Cross multiply
    7,812.93x = 11,721.48 × 4,114.20
  4. Step 4: Simplify right side
    7,812.93x = 48,224,513.02
  5. Step 5: Solve for x
    x = 48,224,513.02/7,812.93
  6. Step 6: Final answer
    x = 6,172.40

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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.