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Finding the Fourth Proportional to 3,887.50, 5,833.26 and 1,547

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Solution

The fourth proportional to 3,887.50, 5,833.26 and 1,547 is: 2,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.50 : 5,833.26 = 1,547 : x
  2. Step 2: Convert to fraction form
    3,887.50/5,833.26 = 1,547/x
  3. Step 3: Cross multiply
    3,887.50x = 5,833.26 × 1,547
  4. Step 4: Simplify right side
    3,887.50x = 9,024,053.22
  5. Step 5: Solve for x
    x = 9,024,053.22/3,887.50
  6. Step 6: Final answer
    x = 2,321.30

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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.