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Finding the Fourth Proportional to 2,104.76, 2,904.75 and 1,160.74

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Solution

The fourth proportional to 2,104.76, 2,904.75 and 1,160.74 is: 1,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.76 : 2,904.75 = 1,160.74 : x
  2. Step 2: Convert to fraction form
    2,104.76/2,904.75 = 1,160.74/x
  3. Step 3: Cross multiply
    2,104.76x = 2,904.75 × 1,160.74
  4. Step 4: Simplify right side
    2,104.76x = 3,371,655.80
  5. Step 5: Solve for x
    x = 3,371,655.80/2,104.76
  6. Step 6: Final answer
    x = 1,601.92

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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.