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Finding the Fourth Proportional to 2,628.47, 3,627.90 and 1,509.99

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Solution

The fourth proportional to 2,628.47, 3,627.90 and 1,509.99 is: 2,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.47 : 3,627.90 = 1,509.99 : x
  2. Step 2: Convert to fraction form
    2,628.47/3,627.90 = 1,509.99/x
  3. Step 3: Cross multiply
    2,628.47x = 3,627.90 × 1,509.99
  4. Step 4: Simplify right side
    2,628.47x = 5,478,092.72
  5. Step 5: Solve for x
    x = 5,478,092.72/2,628.47
  6. Step 6: Final answer
    x = 2,084.14

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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.