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Finding the Fourth Proportional to 7,857.84, 10,843.48 and 4,320.80

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Solution

The fourth proportional to 7,857.84, 10,843.48 and 4,320.80 is: 5,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.84 : 10,843.48 = 4,320.80 : x
  2. Step 2: Convert to fraction form
    7,857.84/10,843.48 = 4,320.80/x
  3. Step 3: Cross multiply
    7,857.84x = 10,843.48 × 4,320.80
  4. Step 4: Simplify right side
    7,857.84x = 46,852,508.38
  5. Step 5: Solve for x
    x = 46,852,508.38/7,857.84
  6. Step 6: Final answer
    x = 5,962.52

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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.