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Finding the Fourth Proportional to 2,097.76, 2,894.16 and 1,312

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Solution

The fourth proportional to 2,097.76, 2,894.16 and 1,312 is: 1,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.76 : 2,894.16 = 1,312 : x
  2. Step 2: Convert to fraction form
    2,097.76/2,894.16 = 1,312/x
  3. Step 3: Cross multiply
    2,097.76x = 2,894.16 × 1,312
  4. Step 4: Simplify right side
    2,097.76x = 3,797,137.92
  5. Step 5: Solve for x
    x = 3,797,137.92/2,097.76
  6. Step 6: Final answer
    x = 1,810.09

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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.