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Finding the Fourth Proportional to 8,588.10, 12,897.99 and 5,146.50

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Solution

The fourth proportional to 8,588.10, 12,897.99 and 5,146.50 is: 7,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.10 : 12,897.99 = 5,146.50 : x
  2. Step 2: Convert to fraction form
    8,588.10/12,897.99 = 5,146.50/x
  3. Step 3: Cross multiply
    8,588.10x = 12,897.99 × 5,146.50
  4. Step 4: Simplify right side
    8,588.10x = 66,379,505.54
  5. Step 5: Solve for x
    x = 66,379,505.54/8,588.10
  6. Step 6: Final answer
    x = 7,729.24

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1.5x scale

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.