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Finding the Fourth Proportional to 2,895.63, 3,994.64 and 1,715.79

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Solution

The fourth proportional to 2,895.63, 3,994.64 and 1,715.79 is: 2,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.63 : 3,994.64 = 1,715.79 : x
  2. Step 2: Convert to fraction form
    2,895.63/3,994.64 = 1,715.79/x
  3. Step 3: Cross multiply
    2,895.63x = 3,994.64 × 1,715.79
  4. Step 4: Simplify right side
    2,895.63x = 6,853,954.79
  5. Step 5: Solve for x
    x = 6,853,954.79/2,895.63
  6. Step 6: Final answer
    x = 2,367.00

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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.