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Finding the Fourth Proportional to 5,300, 7,312.48 and 3,174.68

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Solution

The fourth proportional to 5,300, 7,312.48 and 3,174.68 is: 4,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300 : 7,312.48 = 3,174.68 : x
  2. Step 2: Convert to fraction form
    5,300/7,312.48 = 3,174.68/x
  3. Step 3: Cross multiply
    5,300x = 7,312.48 × 3,174.68
  4. Step 4: Simplify right side
    5,300x = 23,214,784.01
  5. Step 5: Solve for x
    x = 23,214,784.01/5,300
  6. Step 6: Final answer
    x = 4,380.15

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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.