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Finding the Fourth Proportional to 7,161.90, 9,880.02 and 4,644.82

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Solution

The fourth proportional to 7,161.90, 9,880.02 and 4,644.82 is: 6,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.90 : 9,880.02 = 4,644.82 : x
  2. Step 2: Convert to fraction form
    7,161.90/9,880.02 = 4,644.82/x
  3. Step 3: Cross multiply
    7,161.90x = 9,880.02 × 4,644.82
  4. Step 4: Simplify right side
    7,161.90x = 45,890,914.50
  5. Step 5: Solve for x
    x = 45,890,914.50/7,161.90
  6. Step 6: Final answer
    x = 6,407.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.