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Finding the Fourth Proportional to 6,461.40, 8,915.76 and 3,942.84

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Solution

The fourth proportional to 6,461.40, 8,915.76 and 3,942.84 is: 5,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.40 : 8,915.76 = 3,942.84 : x
  2. Step 2: Convert to fraction form
    6,461.40/8,915.76 = 3,942.84/x
  3. Step 3: Cross multiply
    6,461.40x = 8,915.76 × 3,942.84
  4. Step 4: Simplify right side
    6,461.40x = 35,153,415.16
  5. Step 5: Solve for x
    x = 35,153,415.16/6,461.40
  6. Step 6: Final answer
    x = 5,440.53

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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.