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Finding the Fourth Proportional to 2,098.80, 2,894.40 and 1,656

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Solution

The fourth proportional to 2,098.80, 2,894.40 and 1,656 is: 2,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.80 : 2,894.40 = 1,656 : x
  2. Step 2: Convert to fraction form
    2,098.80/2,894.40 = 1,656/x
  3. Step 3: Cross multiply
    2,098.80x = 2,894.40 × 1,656
  4. Step 4: Simplify right side
    2,098.80x = 4,793,126.40
  5. Step 5: Solve for x
    x = 4,793,126.40/2,098.80
  6. Step 6: Final answer
    x = 2,283.75

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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.