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Finding the Fourth Proportional to 2,709.23, 4,064.28 and 954.15

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Solution

The fourth proportional to 2,709.23, 4,064.28 and 954.15 is: 1,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.23 : 4,064.28 = 954.15 : x
  2. Step 2: Convert to fraction form
    2,709.23/4,064.28 = 954.15/x
  3. Step 3: Cross multiply
    2,709.23x = 4,064.28 × 954.15
  4. Step 4: Simplify right side
    2,709.23x = 3,877,932.76
  5. Step 5: Solve for x
    x = 3,877,932.76/2,709.23
  6. Step 6: Final answer
    x = 1,431.38

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1.5x scale

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.