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Finding the Fourth Proportional to 5,211.88, 7,820.04 and 3,457.50

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Solution

The fourth proportional to 5,211.88, 7,820.04 and 3,457.50 is: 5,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.88 : 7,820.04 = 3,457.50 : x
  2. Step 2: Convert to fraction form
    5,211.88/7,820.04 = 3,457.50/x
  3. Step 3: Cross multiply
    5,211.88x = 7,820.04 × 3,457.50
  4. Step 4: Simplify right side
    5,211.88x = 27,037,771.94
  5. Step 5: Solve for x
    x = 27,037,771.94/5,211.88
  6. Step 6: Final answer
    x = 5,187.72

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1.5x scale

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.