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Finding the Fourth Proportional to 30,289, 41,801.38 and 17,043.56

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Solution

The fourth proportional to 30,289, 41,801.38 and 17,043.56 is: 23,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,289 : 41,801.38 = 17,043.56 : x
  2. Step 2: Convert to fraction form
    30,289/41,801.38 = 17,043.56/x
  3. Step 3: Cross multiply
    30,289x = 41,801.38 × 17,043.56
  4. Step 4: Simplify right side
    30,289x = 712,444,328.11
  5. Step 5: Solve for x
    x = 712,444,328.11/30,289
  6. Step 6: Final answer
    x = 23,521.55

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Half scale
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Double scale
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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.