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Finding the Fourth Proportional to 8,537.79, 11,780.15 and 5,180.53

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Solution

The fourth proportional to 8,537.79, 11,780.15 and 5,180.53 is: 7,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.79 : 11,780.15 = 5,180.53 : x
  2. Step 2: Convert to fraction form
    8,537.79/11,780.15 = 5,180.53/x
  3. Step 3: Cross multiply
    8,537.79x = 11,780.15 × 5,180.53
  4. Step 4: Simplify right side
    8,537.79x = 61,027,416.35
  5. Step 5: Solve for x
    x = 61,027,416.35/8,537.79
  6. Step 6: Final answer
    x = 7,147.91

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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.