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Finding the Fourth Proportional to 3,857.52, 5,786.10 and 1,547.40

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Solution

The fourth proportional to 3,857.52, 5,786.10 and 1,547.40 is: 2,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.52 : 5,786.10 = 1,547.40 : x
  2. Step 2: Convert to fraction form
    3,857.52/5,786.10 = 1,547.40/x
  3. Step 3: Cross multiply
    3,857.52x = 5,786.10 × 1,547.40
  4. Step 4: Simplify right side
    3,857.52x = 8,953,411.14
  5. Step 5: Solve for x
    x = 8,953,411.14/3,857.52
  6. Step 6: Final answer
    x = 2,321.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.