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Finding the Fourth Proportional to 8,315.76, 12,463.26 and 4,156.94

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Solution

The fourth proportional to 8,315.76, 12,463.26 and 4,156.94 is: 6,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.76 : 12,463.26 = 4,156.94 : x
  2. Step 2: Convert to fraction form
    8,315.76/12,463.26 = 4,156.94/x
  3. Step 3: Cross multiply
    8,315.76x = 12,463.26 × 4,156.94
  4. Step 4: Simplify right side
    8,315.76x = 51,809,024.02
  5. Step 5: Solve for x
    x = 51,809,024.02/8,315.76
  6. Step 6: Final answer
    x = 6,230.22

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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.