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Finding the Fourth Proportional to 2,097.92, 2,895.04 and 1,213.76

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Solution

The fourth proportional to 2,097.92, 2,895.04 and 1,213.76 is: 1,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.92 : 2,895.04 = 1,213.76 : x
  2. Step 2: Convert to fraction form
    2,097.92/2,895.04 = 1,213.76/x
  3. Step 3: Cross multiply
    2,097.92x = 2,895.04 × 1,213.76
  4. Step 4: Simplify right side
    2,097.92x = 3,513,883.75
  5. Step 5: Solve for x
    x = 3,513,883.75/2,097.92
  6. Step 6: Final answer
    x = 1,674.94

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1.5x scale

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.