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Finding the Fourth Proportional to 7,290.76, 10,931.82 and 2,910.28

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Solution

The fourth proportional to 7,290.76, 10,931.82 and 2,910.28 is: 4,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.76 : 10,931.82 = 2,910.28 : x
  2. Step 2: Convert to fraction form
    7,290.76/10,931.82 = 2,910.28/x
  3. Step 3: Cross multiply
    7,290.76x = 10,931.82 × 2,910.28
  4. Step 4: Simplify right side
    7,290.76x = 31,814,657.11
  5. Step 5: Solve for x
    x = 31,814,657.11/7,290.76
  6. Step 6: Final answer
    x = 4,363.70

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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.