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Finding the Fourth Proportional to 2,931, 4,046.62 and 1,884.88

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Solution

The fourth proportional to 2,931, 4,046.62 and 1,884.88 is: 2,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931 : 4,046.62 = 1,884.88 : x
  2. Step 2: Convert to fraction form
    2,931/4,046.62 = 1,884.88/x
  3. Step 3: Cross multiply
    2,931x = 4,046.62 × 1,884.88
  4. Step 4: Simplify right side
    2,931x = 7,627,393.11
  5. Step 5: Solve for x
    x = 7,627,393.11/2,931
  6. Step 6: Final answer
    x = 2,602.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.