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Finding the Fourth Proportional to 7,834.80, 11,752.20 and 7,705.20

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Solution

The fourth proportional to 7,834.80, 11,752.20 and 7,705.20 is: 11,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.80 : 11,752.20 = 7,705.20 : x
  2. Step 2: Convert to fraction form
    7,834.80/11,752.20 = 7,705.20/x
  3. Step 3: Cross multiply
    7,834.80x = 11,752.20 × 7,705.20
  4. Step 4: Simplify right side
    7,834.80x = 90,553,051.44
  5. Step 5: Solve for x
    x = 90,553,051.44/7,834.80
  6. Step 6: Final answer
    x = 11,557.80

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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.