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Finding the Fourth Proportional to 10,251, 14,145.48 and 5,775.12

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Solution

The fourth proportional to 10,251, 14,145.48 and 5,775.12 is: 7,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251 : 14,145.48 = 5,775.12 : x
  2. Step 2: Convert to fraction form
    10,251/14,145.48 = 5,775.12/x
  3. Step 3: Cross multiply
    10,251x = 14,145.48 × 5,775.12
  4. Step 4: Simplify right side
    10,251x = 81,691,844.46
  5. Step 5: Solve for x
    x = 81,691,844.46/10,251
  6. Step 6: Final answer
    x = 7,969.16

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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.