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Finding the Fourth Proportional to 6,456.40, 8,907.02 and 3,938.10

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Solution

The fourth proportional to 6,456.40, 8,907.02 and 3,938.10 is: 5,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.40 : 8,907.02 = 3,938.10 : x
  2. Step 2: Convert to fraction form
    6,456.40/8,907.02 = 3,938.10/x
  3. Step 3: Cross multiply
    6,456.40x = 8,907.02 × 3,938.10
  4. Step 4: Simplify right side
    6,456.40x = 35,076,735.46
  5. Step 5: Solve for x
    x = 35,076,735.46/6,456.40
  6. Step 6: Final answer
    x = 5,432.86

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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.