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Finding the Fourth Proportional to 6,859.76, 10,285.74 and 2,178.86

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Solution

The fourth proportional to 6,859.76, 10,285.74 and 2,178.86 is: 3,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.76 : 10,285.74 = 2,178.86 : x
  2. Step 2: Convert to fraction form
    6,859.76/10,285.74 = 2,178.86/x
  3. Step 3: Cross multiply
    6,859.76x = 10,285.74 × 2,178.86
  4. Step 4: Simplify right side
    6,859.76x = 22,411,136.03
  5. Step 5: Solve for x
    x = 22,411,136.03/6,859.76
  6. Step 6: Final answer
    x = 3,267.05

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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.