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Finding the Fourth Proportional to 7,841.86, 10,821.09 and 4,483.60

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Solution

The fourth proportional to 7,841.86, 10,821.09 and 4,483.60 is: 6,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.86 : 10,821.09 = 4,483.60 : x
  2. Step 2: Convert to fraction form
    7,841.86/10,821.09 = 4,483.60/x
  3. Step 3: Cross multiply
    7,841.86x = 10,821.09 × 4,483.60
  4. Step 4: Simplify right side
    7,841.86x = 48,517,439.12
  5. Step 5: Solve for x
    x = 48,517,439.12/7,841.86
  6. Step 6: Final answer
    x = 6,186.98

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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.