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Finding the Fourth Proportional to 10,356.96, 15,522.47 and 8,157

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Solution

The fourth proportional to 10,356.96, 15,522.47 and 8,157 is: 12,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.96 : 15,522.47 = 8,157 : x
  2. Step 2: Convert to fraction form
    10,356.96/15,522.47 = 8,157/x
  3. Step 3: Cross multiply
    10,356.96x = 15,522.47 × 8,157
  4. Step 4: Simplify right side
    10,356.96x = 126,616,787.79
  5. Step 5: Solve for x
    x = 126,616,787.79/10,356.96
  6. Step 6: Final answer
    x = 12,225.29

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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.