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Finding the Fourth Proportional to 8,368.13, 12,555.23 and 3,174

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Solution

The fourth proportional to 8,368.13, 12,555.23 and 3,174 is: 4,762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,368.13 : 12,555.23 = 3,174 : x
  2. Step 2: Convert to fraction form
    8,368.13/12,555.23 = 3,174/x
  3. Step 3: Cross multiply
    8,368.13x = 12,555.23 × 3,174
  4. Step 4: Simplify right side
    8,368.13x = 39,850,284.15
  5. Step 5: Solve for x
    x = 39,850,284.15/8,368.13
  6. Step 6: Final answer
    x = 4,762.15

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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.