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Finding the Fourth Proportional to 4,312.50, 6,472 and 3,457.14

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Solution

The fourth proportional to 4,312.50, 6,472 and 3,457.14 is: 5,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.50 : 6,472 = 3,457.14 : x
  2. Step 2: Convert to fraction form
    4,312.50/6,472 = 3,457.14/x
  3. Step 3: Cross multiply
    4,312.50x = 6,472 × 3,457.14
  4. Step 4: Simplify right side
    4,312.50x = 22,374,610.08
  5. Step 5: Solve for x
    x = 22,374,610.08/4,312.50
  6. Step 6: Final answer
    x = 5,188.32

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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.