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Finding the Fourth Proportional to 2,707.92, 4,062.08 and 1,146.40

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Solution

The fourth proportional to 2,707.92, 4,062.08 and 1,146.40 is: 1,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.92 : 4,062.08 = 1,146.40 : x
  2. Step 2: Convert to fraction form
    2,707.92/4,062.08 = 1,146.40/x
  3. Step 3: Cross multiply
    2,707.92x = 4,062.08 × 1,146.40
  4. Step 4: Simplify right side
    2,707.92x = 4,656,768.51
  5. Step 5: Solve for x
    x = 4,656,768.51/2,707.92
  6. Step 6: Final answer
    x = 1,719.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.