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Finding the Fourth Proportional to 11,289, 16,922.28 and 7,582.71

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Solution

The fourth proportional to 11,289, 16,922.28 and 7,582.71 is: 11,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289 : 16,922.28 = 7,582.71 : x
  2. Step 2: Convert to fraction form
    11,289/16,922.28 = 7,582.71/x
  3. Step 3: Cross multiply
    11,289x = 16,922.28 × 7,582.71
  4. Step 4: Simplify right side
    11,289x = 128,316,741.78
  5. Step 5: Solve for x
    x = 128,316,741.78/11,289
  6. Step 6: Final answer
    x = 11,366.53

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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.