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Finding the Fourth Proportional to 5,213.48, 7,801.58 and 4,865.90

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Solution

The fourth proportional to 5,213.48, 7,801.58 and 4,865.90 is: 7,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.48 : 7,801.58 = 4,865.90 : x
  2. Step 2: Convert to fraction form
    5,213.48/7,801.58 = 4,865.90/x
  3. Step 3: Cross multiply
    5,213.48x = 7,801.58 × 4,865.90
  4. Step 4: Simplify right side
    5,213.48x = 37,961,708.12
  5. Step 5: Solve for x
    x = 37,961,708.12/5,213.48
  6. Step 6: Final answer
    x = 7,281.45

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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.