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Finding the Fourth Proportional to 2,931, 4,044.18 and 1,986.96

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Solution

The fourth proportional to 2,931, 4,044.18 and 1,986.96 is: 2,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931 : 4,044.18 = 1,986.96 : x
  2. Step 2: Convert to fraction form
    2,931/4,044.18 = 1,986.96/x
  3. Step 3: Cross multiply
    2,931x = 4,044.18 × 1,986.96
  4. Step 4: Simplify right side
    2,931x = 8,035,623.89
  5. Step 5: Solve for x
    x = 8,035,623.89/2,931
  6. Step 6: Final answer
    x = 2,741.60

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1.5x scale

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.