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Finding the Fourth Proportional to 3,459.71, 5,208.03 and 3,102.50

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Solution

The fourth proportional to 3,459.71, 5,208.03 and 3,102.50 is: 4,670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.71 : 5,208.03 = 3,102.50 : x
  2. Step 2: Convert to fraction form
    3,459.71/5,208.03 = 3,102.50/x
  3. Step 3: Cross multiply
    3,459.71x = 5,208.03 × 3,102.50
  4. Step 4: Simplify right side
    3,459.71x = 16,157,913.08
  5. Step 5: Solve for x
    x = 16,157,913.08/3,459.71
  6. Step 6: Final answer
    x = 4,670.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.