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Finding the Fourth Proportional to 3,547, 5,320.56 and 1,238.56

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Solution

The fourth proportional to 3,547, 5,320.56 and 1,238.56 is: 1,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547 : 5,320.56 = 1,238.56 : x
  2. Step 2: Convert to fraction form
    3,547/5,320.56 = 1,238.56/x
  3. Step 3: Cross multiply
    3,547x = 5,320.56 × 1,238.56
  4. Step 4: Simplify right side
    3,547x = 6,589,832.79
  5. Step 5: Solve for x
    x = 6,589,832.79/3,547
  6. Step 6: Final answer
    x = 1,857.86

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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.