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Finding the Fourth Proportional to 1,903.64, 2,627.28 and 1,118

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Solution

The fourth proportional to 1,903.64, 2,627.28 and 1,118 is: 1,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.64 : 2,627.28 = 1,118 : x
  2. Step 2: Convert to fraction form
    1,903.64/2,627.28 = 1,118/x
  3. Step 3: Cross multiply
    1,903.64x = 2,627.28 × 1,118
  4. Step 4: Simplify right side
    1,903.64x = 2,937,299.04
  5. Step 5: Solve for x
    x = 2,937,299.04/1,903.64
  6. Step 6: Final answer
    x = 1,542.99

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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.