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Finding the Fourth Proportional to 2,088.88, 2,881.92 and 1,302.64

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Solution

The fourth proportional to 2,088.88, 2,881.92 and 1,302.64 is: 1,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.88 : 2,881.92 = 1,302.64 : x
  2. Step 2: Convert to fraction form
    2,088.88/2,881.92 = 1,302.64/x
  3. Step 3: Cross multiply
    2,088.88x = 2,881.92 × 1,302.64
  4. Step 4: Simplify right side
    2,088.88x = 3,754,104.27
  5. Step 5: Solve for x
    x = 3,754,104.27/2,088.88
  6. Step 6: Final answer
    x = 1,797.19

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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.