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Finding the Fourth Proportional to 21,009.62, 28,993.29 and 11,578.16

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Solution

The fourth proportional to 21,009.62, 28,993.29 and 11,578.16 is: 15,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.62 : 28,993.29 = 11,578.16 : x
  2. Step 2: Convert to fraction form
    21,009.62/28,993.29 = 11,578.16/x
  3. Step 3: Cross multiply
    21,009.62x = 28,993.29 × 11,578.16
  4. Step 4: Simplify right side
    21,009.62x = 335,688,950.55
  5. Step 5: Solve for x
    x = 335,688,950.55/21,009.62
  6. Step 6: Final answer
    x = 15,977.87

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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.