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Finding the Fourth Proportional to 10,278, 14,183.64 and 5,562.32

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Solution

The fourth proportional to 10,278, 14,183.64 and 5,562.32 is: 7,675.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278 : 14,183.64 = 5,562.32 : x
  2. Step 2: Convert to fraction form
    10,278/14,183.64 = 5,562.32/x
  3. Step 3: Cross multiply
    10,278x = 14,183.64 × 5,562.32
  4. Step 4: Simplify right side
    10,278x = 78,893,873.53
  5. Step 5: Solve for x
    x = 78,893,873.53/10,278
  6. Step 6: Final answer
    x = 7,675.99

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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.