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Finding the Fourth Proportional to 7,281.70, 10,916.88 and 3,385.60

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Solution

The fourth proportional to 7,281.70, 10,916.88 and 3,385.60 is: 5,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.70 : 10,916.88 = 3,385.60 : x
  2. Step 2: Convert to fraction form
    7,281.70/10,916.88 = 3,385.60/x
  3. Step 3: Cross multiply
    7,281.70x = 10,916.88 × 3,385.60
  4. Step 4: Simplify right side
    7,281.70x = 36,960,188.93
  5. Step 5: Solve for x
    x = 36,960,188.93/7,281.70
  6. Step 6: Final answer
    x = 5,075.76

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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.