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Finding the Fourth Proportional to 3,887.39, 5,829.79 and 1,547.98

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Solution

The fourth proportional to 3,887.39, 5,829.79 and 1,547.98 is: 2,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.39 : 5,829.79 = 1,547.98 : x
  2. Step 2: Convert to fraction form
    3,887.39/5,829.79 = 1,547.98/x
  3. Step 3: Cross multiply
    3,887.39x = 5,829.79 × 1,547.98
  4. Step 4: Simplify right side
    3,887.39x = 9,024,398.32
  5. Step 5: Solve for x
    x = 9,024,398.32/3,887.39
  6. Step 6: Final answer
    x = 2,321.45

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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.