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Finding the Fourth Proportional to 7,710.57, 10,640.59 and 4,173.77

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Solution

The fourth proportional to 7,710.57, 10,640.59 and 4,173.77 is: 5,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.57 : 10,640.59 = 4,173.77 : x
  2. Step 2: Convert to fraction form
    7,710.57/10,640.59 = 4,173.77/x
  3. Step 3: Cross multiply
    7,710.57x = 10,640.59 × 4,173.77
  4. Step 4: Simplify right side
    7,710.57x = 44,411,375.32
  5. Step 5: Solve for x
    x = 44,411,375.32/7,710.57
  6. Step 6: Final answer
    x = 5,759.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.