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Finding the Fourth Proportional to 1,903.88, 2,856.72 and 929.45

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Solution

The fourth proportional to 1,903.88, 2,856.72 and 929.45 is: 1,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.88 : 2,856.72 = 929.45 : x
  2. Step 2: Convert to fraction form
    1,903.88/2,856.72 = 929.45/x
  3. Step 3: Cross multiply
    1,903.88x = 2,856.72 × 929.45
  4. Step 4: Simplify right side
    1,903.88x = 2,655,164.12
  5. Step 5: Solve for x
    x = 2,655,164.12/1,903.88
  6. Step 6: Final answer
    x = 1,394.61

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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.