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Finding the Fourth Proportional to 7,855.86, 10,841 and 4,319.24

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Solution

The fourth proportional to 7,855.86, 10,841 and 4,319.24 is: 5,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.86 : 10,841 = 4,319.24 : x
  2. Step 2: Convert to fraction form
    7,855.86/10,841 = 4,319.24/x
  3. Step 3: Cross multiply
    7,855.86x = 10,841 × 4,319.24
  4. Step 4: Simplify right side
    7,855.86x = 46,824,880.84
  5. Step 5: Solve for x
    x = 46,824,880.84/7,855.86
  6. Step 6: Final answer
    x = 5,960.50

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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.