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Finding the Fourth Proportional to 6,451.50, 9,678.87 and 1,834.50

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Solution

The fourth proportional to 6,451.50, 9,678.87 and 1,834.50 is: 2,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.50 : 9,678.87 = 1,834.50 : x
  2. Step 2: Convert to fraction form
    6,451.50/9,678.87 = 1,834.50/x
  3. Step 3: Cross multiply
    6,451.50x = 9,678.87 × 1,834.50
  4. Step 4: Simplify right side
    6,451.50x = 17,755,887.02
  5. Step 5: Solve for x
    x = 17,755,887.02/6,451.50
  6. Step 6: Final answer
    x = 2,752.21

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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.