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Finding the Fourth Proportional to 8,953.96, 12,357 and 5,177.80

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Solution

The fourth proportional to 8,953.96, 12,357 and 5,177.80 is: 7,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.96 : 12,357 = 5,177.80 : x
  2. Step 2: Convert to fraction form
    8,953.96/12,357 = 5,177.80/x
  3. Step 3: Cross multiply
    8,953.96x = 12,357 × 5,177.80
  4. Step 4: Simplify right side
    8,953.96x = 63,982,074.60
  5. Step 5: Solve for x
    x = 63,982,074.60/8,953.96
  6. Step 6: Final answer
    x = 7,145.67

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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.