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Finding the Fourth Proportional to 7,857.82, 10,845.93 and 5,068.18

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Solution

The fourth proportional to 7,857.82, 10,845.93 and 5,068.18 is: 6,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.82 : 10,845.93 = 5,068.18 : x
  2. Step 2: Convert to fraction form
    7,857.82/10,845.93 = 5,068.18/x
  3. Step 3: Cross multiply
    7,857.82x = 10,845.93 × 5,068.18
  4. Step 4: Simplify right side
    7,857.82x = 54,969,125.51
  5. Step 5: Solve for x
    x = 54,969,125.51/7,857.82
  6. Step 6: Final answer
    x = 6,995.47

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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.