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Finding the Fourth Proportional to 2,731.55, 4,097.54 and 976.93

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Solution

The fourth proportional to 2,731.55, 4,097.54 and 976.93 is: 1,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.55 : 4,097.54 = 976.93 : x
  2. Step 2: Convert to fraction form
    2,731.55/4,097.54 = 976.93/x
  3. Step 3: Cross multiply
    2,731.55x = 4,097.54 × 976.93
  4. Step 4: Simplify right side
    2,731.55x = 4,002,984.38
  5. Step 5: Solve for x
    x = 4,002,984.38/2,731.55
  6. Step 6: Final answer
    x = 1,465.46

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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.