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Finding the Fourth Proportional to 7,005.62, 10,508.43 and 2,388.50

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Solution

The fourth proportional to 7,005.62, 10,508.43 and 2,388.50 is: 3,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.62 : 10,508.43 = 2,388.50 : x
  2. Step 2: Convert to fraction form
    7,005.62/10,508.43 = 2,388.50/x
  3. Step 3: Cross multiply
    7,005.62x = 10,508.43 × 2,388.50
  4. Step 4: Simplify right side
    7,005.62x = 25,099,385.06
  5. Step 5: Solve for x
    x = 25,099,385.06/7,005.62
  6. Step 6: Final answer
    x = 3,582.75

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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.