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Finding the Fourth Proportional to 14,871.56, 20,522.68 and 8,157

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Solution

The fourth proportional to 14,871.56, 20,522.68 and 8,157 is: 11,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.56 : 20,522.68 = 8,157 : x
  2. Step 2: Convert to fraction form
    14,871.56/20,522.68 = 8,157/x
  3. Step 3: Cross multiply
    14,871.56x = 20,522.68 × 8,157
  4. Step 4: Simplify right side
    14,871.56x = 167,403,500.76
  5. Step 5: Solve for x
    x = 167,403,500.76/14,871.56
  6. Step 6: Final answer
    x = 11,256.62

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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.