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Finding the Fourth Proportional to 7,211.60, 10,817.60 and 2,281.12

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Solution

The fourth proportional to 7,211.60, 10,817.60 and 2,281.12 is: 3,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.60 : 10,817.60 = 2,281.12 : x
  2. Step 2: Convert to fraction form
    7,211.60/10,817.60 = 2,281.12/x
  3. Step 3: Cross multiply
    7,211.60x = 10,817.60 × 2,281.12
  4. Step 4: Simplify right side
    7,211.60x = 24,676,243.71
  5. Step 5: Solve for x
    x = 24,676,243.71/7,211.60
  6. Step 6: Final answer
    x = 3,421.74

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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.