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Finding the Fourth Proportional to 2,924.76, 4,387.18 and 976.97

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Solution

The fourth proportional to 2,924.76, 4,387.18 and 976.97 is: 1,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.76 : 4,387.18 = 976.97 : x
  2. Step 2: Convert to fraction form
    2,924.76/4,387.18 = 976.97/x
  3. Step 3: Cross multiply
    2,924.76x = 4,387.18 × 976.97
  4. Step 4: Simplify right side
    2,924.76x = 4,286,143.24
  5. Step 5: Solve for x
    x = 4,286,143.24/2,924.76
  6. Step 6: Final answer
    x = 1,465.47

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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.