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Finding the Fourth Proportional to 1,900.24, 2,849.28 and 925.12

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Solution

The fourth proportional to 1,900.24, 2,849.28 and 925.12 is: 1,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.24 : 2,849.28 = 925.12 : x
  2. Step 2: Convert to fraction form
    1,900.24/2,849.28 = 925.12/x
  3. Step 3: Cross multiply
    1,900.24x = 2,849.28 × 925.12
  4. Step 4: Simplify right side
    1,900.24x = 2,635,925.91
  5. Step 5: Solve for x
    x = 2,635,925.91/1,900.24
  6. Step 6: Final answer
    x = 1,387.15

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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.