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Finding the Fourth Proportional to 5,392.64, 8,090.64 and 3,430.50

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Solution

The fourth proportional to 5,392.64, 8,090.64 and 3,430.50 is: 5,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.64 : 8,090.64 = 3,430.50 : x
  2. Step 2: Convert to fraction form
    5,392.64/8,090.64 = 3,430.50/x
  3. Step 3: Cross multiply
    5,392.64x = 8,090.64 × 3,430.50
  4. Step 4: Simplify right side
    5,392.64x = 27,754,940.52
  5. Step 5: Solve for x
    x = 27,754,940.52/5,392.64
  6. Step 6: Final answer
    x = 5,146.82

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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.