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Finding the Fourth Proportional to 15,639, 23,459.94 and 5,250.84

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Solution

The fourth proportional to 15,639, 23,459.94 and 5,250.84 is: 7,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,639 : 23,459.94 = 5,250.84 : x
  2. Step 2: Convert to fraction form
    15,639/23,459.94 = 5,250.84/x
  3. Step 3: Cross multiply
    15,639x = 23,459.94 × 5,250.84
  4. Step 4: Simplify right side
    15,639x = 123,184,391.35
  5. Step 5: Solve for x
    x = 123,184,391.35/15,639
  6. Step 6: Final answer
    x = 7,876.74

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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.