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Finding the Fourth Proportional to 3,547.09, 5,320.70 and 950

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Solution

The fourth proportional to 3,547.09, 5,320.70 and 950 is: 1,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.09 : 5,320.70 = 950 : x
  2. Step 2: Convert to fraction form
    3,547.09/5,320.70 = 950/x
  3. Step 3: Cross multiply
    3,547.09x = 5,320.70 × 950
  4. Step 4: Simplify right side
    3,547.09x = 5,054,660.25
  5. Step 5: Solve for x
    x = 5,054,660.25/3,547.09
  6. Step 6: Final answer
    x = 1,425.02

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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.