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Finding the Fourth Proportional to 7,844.61, 10,820.81 and 4,655.81

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Solution

The fourth proportional to 7,844.61, 10,820.81 and 4,655.81 is: 6,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.61 : 10,820.81 = 4,655.81 : x
  2. Step 2: Convert to fraction form
    7,844.61/10,820.81 = 4,655.81/x
  3. Step 3: Cross multiply
    7,844.61x = 10,820.81 × 4,655.81
  4. Step 4: Simplify right side
    7,844.61x = 50,379,635.41
  5. Step 5: Solve for x
    x = 50,379,635.41/7,844.61
  6. Step 6: Final answer
    x = 6,422.20

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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.