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Finding the Fourth Proportional to 7,857.40, 10,830.59 and 7,213.61

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Solution

The fourth proportional to 7,857.40, 10,830.59 and 7,213.61 is: 9,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.40 : 10,830.59 = 7,213.61 : x
  2. Step 2: Convert to fraction form
    7,857.40/10,830.59 = 7,213.61/x
  3. Step 3: Cross multiply
    7,857.40x = 10,830.59 × 7,213.61
  4. Step 4: Simplify right side
    7,857.40x = 78,127,652.33
  5. Step 5: Solve for x
    x = 78,127,652.33/7,857.40
  6. Step 6: Final answer
    x = 9,943.19

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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.