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Finding the Fourth Proportional to 7,138.60, 10,705.98 and 2,521

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Solution

The fourth proportional to 7,138.60, 10,705.98 and 2,521 is: 3,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.60 : 10,705.98 = 2,521 : x
  2. Step 2: Convert to fraction form
    7,138.60/10,705.98 = 2,521/x
  3. Step 3: Cross multiply
    7,138.60x = 10,705.98 × 2,521
  4. Step 4: Simplify right side
    7,138.60x = 26,989,775.58
  5. Step 5: Solve for x
    x = 26,989,775.58/7,138.60
  6. Step 6: Final answer
    x = 3,780.82

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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.