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Finding the Fourth Proportional to 5,321.09, 7,981.14 and 2,509.28

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Solution

The fourth proportional to 5,321.09, 7,981.14 and 2,509.28 is: 3,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.09 : 7,981.14 = 2,509.28 : x
  2. Step 2: Convert to fraction form
    5,321.09/7,981.14 = 2,509.28/x
  3. Step 3: Cross multiply
    5,321.09x = 7,981.14 × 2,509.28
  4. Step 4: Simplify right side
    5,321.09x = 20,026,862.53
  5. Step 5: Solve for x
    x = 20,026,862.53/5,321.09
  6. Step 6: Final answer
    x = 3,763.68

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1.5x scale

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.