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Finding the Fourth Proportional to 5,156.04, 7,737.30 and 2,078.04

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Solution

The fourth proportional to 5,156.04, 7,737.30 and 2,078.04 is: 3,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.04 : 7,737.30 = 2,078.04 : x
  2. Step 2: Convert to fraction form
    5,156.04/7,737.30 = 2,078.04/x
  3. Step 3: Cross multiply
    5,156.04x = 7,737.30 × 2,078.04
  4. Step 4: Simplify right side
    5,156.04x = 16,078,418.89
  5. Step 5: Solve for x
    x = 16,078,418.89/5,156.04
  6. Step 6: Final answer
    x = 3,118.37

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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.