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Finding the Fourth Proportional to 3,547.72, 5,285.93 and 3,349

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Solution

The fourth proportional to 3,547.72, 5,285.93 and 3,349 is: 4,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.72 : 5,285.93 = 3,349 : x
  2. Step 2: Convert to fraction form
    3,547.72/5,285.93 = 3,349/x
  3. Step 3: Cross multiply
    3,547.72x = 5,285.93 × 3,349
  4. Step 4: Simplify right side
    3,547.72x = 17,702,579.57
  5. Step 5: Solve for x
    x = 17,702,579.57/3,547.72
  6. Step 6: Final answer
    x = 4,989.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.