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Finding the Fourth Proportional to 37,289, 51,459.63 and 20,522

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Solution

The fourth proportional to 37,289, 51,459.63 and 20,522 is: 28,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,289 : 51,459.63 = 20,522 : x
  2. Step 2: Convert to fraction form
    37,289/51,459.63 = 20,522/x
  3. Step 3: Cross multiply
    37,289x = 51,459.63 × 20,522
  4. Step 4: Simplify right side
    37,289x = 1,056,054,526.86
  5. Step 5: Solve for x
    x = 1,056,054,526.86/37,289
  6. Step 6: Final answer
    x = 28,320.81

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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.