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Finding the Fourth Proportional to 15,212.10, 22,817.88 and 7,812.21

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Solution

The fourth proportional to 15,212.10, 22,817.88 and 7,812.21 is: 11,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212.10 : 22,817.88 = 7,812.21 : x
  2. Step 2: Convert to fraction form
    15,212.10/22,817.88 = 7,812.21/x
  3. Step 3: Cross multiply
    15,212.10x = 22,817.88 × 7,812.21
  4. Step 4: Simplify right side
    15,212.10x = 178,258,070.31
  5. Step 5: Solve for x
    x = 178,258,070.31/15,212.10
  6. Step 6: Final answer
    x = 11,718.18

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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.