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Finding the Fourth Proportional to 2,707.95, 4,061.92 and 976.57

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Solution

The fourth proportional to 2,707.95, 4,061.92 and 976.57 is: 1,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.95 : 4,061.92 = 976.57 : x
  2. Step 2: Convert to fraction form
    2,707.95/4,061.92 = 976.57/x
  3. Step 3: Cross multiply
    2,707.95x = 4,061.92 × 976.57
  4. Step 4: Simplify right side
    2,707.95x = 3,966,748.96
  5. Step 5: Solve for x
    x = 3,966,748.96/2,707.95
  6. Step 6: Final answer
    x = 1,464.86

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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.