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Finding the Fourth Proportional to 2,920.88, 4,381.86 and 1,071.80

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Solution

The fourth proportional to 2,920.88, 4,381.86 and 1,071.80 is: 1,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.88 : 4,381.86 = 1,071.80 : x
  2. Step 2: Convert to fraction form
    2,920.88/4,381.86 = 1,071.80/x
  3. Step 3: Cross multiply
    2,920.88x = 4,381.86 × 1,071.80
  4. Step 4: Simplify right side
    2,920.88x = 4,696,477.55
  5. Step 5: Solve for x
    x = 4,696,477.55/2,920.88
  6. Step 6: Final answer
    x = 1,607.90

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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.