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Finding the Fourth Proportional to 10,278, 15,417.72 and 4,122

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Solution

The fourth proportional to 10,278, 15,417.72 and 4,122 is: 6,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278 : 15,417.72 = 4,122 : x
  2. Step 2: Convert to fraction form
    10,278/15,417.72 = 4,122/x
  3. Step 3: Cross multiply
    10,278x = 15,417.72 × 4,122
  4. Step 4: Simplify right side
    10,278x = 63,551,841.84
  5. Step 5: Solve for x
    x = 63,551,841.84/10,278
  6. Step 6: Final answer
    x = 6,183.29

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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.