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Finding the Fourth Proportional to 2,627.80, 3,626.54 and 1,509.10

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Solution

The fourth proportional to 2,627.80, 3,626.54 and 1,509.10 is: 2,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.80 : 3,626.54 = 1,509.10 : x
  2. Step 2: Convert to fraction form
    2,627.80/3,626.54 = 1,509.10/x
  3. Step 3: Cross multiply
    2,627.80x = 3,626.54 × 1,509.10
  4. Step 4: Simplify right side
    2,627.80x = 5,472,811.51
  5. Step 5: Solve for x
    x = 5,472,811.51/2,627.80
  6. Step 6: Final answer
    x = 2,082.66

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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.