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Finding the Fourth Proportional to 2,931.64, 4,390.52 and 2,544.79

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Solution

The fourth proportional to 2,931.64, 4,390.52 and 2,544.79 is: 3,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.64 : 4,390.52 = 2,544.79 : x
  2. Step 2: Convert to fraction form
    2,931.64/4,390.52 = 2,544.79/x
  3. Step 3: Cross multiply
    2,931.64x = 4,390.52 × 2,544.79
  4. Step 4: Simplify right side
    2,931.64x = 11,172,951.39
  5. Step 5: Solve for x
    x = 11,172,951.39/2,931.64
  6. Step 6: Final answer
    x = 3,811.16

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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.