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Finding the Fourth Proportional to 8,154, 11,252.76 and 4,428.24

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Solution

The fourth proportional to 8,154, 11,252.76 and 4,428.24 is: 6,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154 : 11,252.76 = 4,428.24 : x
  2. Step 2: Convert to fraction form
    8,154/11,252.76 = 4,428.24/x
  3. Step 3: Cross multiply
    8,154x = 11,252.76 × 4,428.24
  4. Step 4: Simplify right side
    8,154x = 49,829,921.94
  5. Step 5: Solve for x
    x = 49,829,921.94/8,154
  6. Step 6: Final answer
    x = 6,111.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.