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Finding the Fourth Proportional to 2,931.96, 4,397.78 and 851.93

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Solution

The fourth proportional to 2,931.96, 4,397.78 and 851.93 is: 1,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.96 : 4,397.78 = 851.93 : x
  2. Step 2: Convert to fraction form
    2,931.96/4,397.78 = 851.93/x
  3. Step 3: Cross multiply
    2,931.96x = 4,397.78 × 851.93
  4. Step 4: Simplify right side
    2,931.96x = 3,746,574.47
  5. Step 5: Solve for x
    x = 3,746,574.47/2,931.96
  6. Step 6: Final answer
    x = 1,277.84

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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.