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Finding the Fourth Proportional to 2,903.76, 4,005 and 2,065.68

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Solution

The fourth proportional to 2,903.76, 4,005 and 2,065.68 is: 2,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.76 : 4,005 = 2,065.68 : x
  2. Step 2: Convert to fraction form
    2,903.76/4,005 = 2,065.68/x
  3. Step 3: Cross multiply
    2,903.76x = 4,005 × 2,065.68
  4. Step 4: Simplify right side
    2,903.76x = 8,273,048.40
  5. Step 5: Solve for x
    x = 8,273,048.40/2,903.76
  6. Step 6: Final answer
    x = 2,849.08

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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.