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Finding the Fourth Proportional to 10,787.68, 14,892 and 8,136.16

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Solution

The fourth proportional to 10,787.68, 14,892 and 8,136.16 is: 11,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787.68 : 14,892 = 8,136.16 : x
  2. Step 2: Convert to fraction form
    10,787.68/14,892 = 8,136.16/x
  3. Step 3: Cross multiply
    10,787.68x = 14,892 × 8,136.16
  4. Step 4: Simplify right side
    10,787.68x = 121,163,694.72
  5. Step 5: Solve for x
    x = 121,163,694.72/10,787.68
  6. Step 6: Final answer
    x = 11,231.67

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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.