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Finding the Fourth Proportional to 1,617.72, 2,427.65 and 887.81

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Solution

The fourth proportional to 1,617.72, 2,427.65 and 887.81 is: 1,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.72 : 2,427.65 = 887.81 : x
  2. Step 2: Convert to fraction form
    1,617.72/2,427.65 = 887.81/x
  3. Step 3: Cross multiply
    1,617.72x = 2,427.65 × 887.81
  4. Step 4: Simplify right side
    1,617.72x = 2,155,275.37
  5. Step 5: Solve for x
    x = 2,155,275.37/1,617.72
  6. Step 6: Final answer
    x = 1,332.29

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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.