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Finding the Fourth Proportional to 1,345.97, 1,857.10 and 786.11

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Solution

The fourth proportional to 1,345.97, 1,857.10 and 786.11 is: 1,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.97 : 1,857.10 = 786.11 : x
  2. Step 2: Convert to fraction form
    1,345.97/1,857.10 = 786.11/x
  3. Step 3: Cross multiply
    1,345.97x = 1,857.10 × 786.11
  4. Step 4: Simplify right side
    1,345.97x = 1,459,887.56
  5. Step 5: Solve for x
    x = 1,459,887.56/1,345.97
  6. Step 6: Final answer
    x = 1,084.64

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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.