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Finding the Fourth Proportional to 7,846.58, 10,827.78 and 7,219.64

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Solution

The fourth proportional to 7,846.58, 10,827.78 and 7,219.64 is: 9,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.58 : 10,827.78 = 7,219.64 : x
  2. Step 2: Convert to fraction form
    7,846.58/10,827.78 = 7,219.64/x
  3. Step 3: Cross multiply
    7,846.58x = 10,827.78 × 7,219.64
  4. Step 4: Simplify right side
    7,846.58x = 78,172,619.46
  5. Step 5: Solve for x
    x = 78,172,619.46/7,846.58
  6. Step 6: Final answer
    x = 9,962.64

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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.