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Finding the Fourth Proportional to 5,187.65, 7,158.38 and 2,949.21

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Solution

The fourth proportional to 5,187.65, 7,158.38 and 2,949.21 is: 4,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.65 : 7,158.38 = 2,949.21 : x
  2. Step 2: Convert to fraction form
    5,187.65/7,158.38 = 2,949.21/x
  3. Step 3: Cross multiply
    5,187.65x = 7,158.38 × 2,949.21
  4. Step 4: Simplify right side
    5,187.65x = 21,111,551.13
  5. Step 5: Solve for x
    x = 21,111,551.13/5,187.65
  6. Step 6: Final answer
    x = 4,069.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.