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Finding the Fourth Proportional to 7,005.12, 10,507.68 and 2,388

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Solution

The fourth proportional to 7,005.12, 10,507.68 and 2,388 is: 3,582

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.12 : 10,507.68 = 2,388 : x
  2. Step 2: Convert to fraction form
    7,005.12/10,507.68 = 2,388/x
  3. Step 3: Cross multiply
    7,005.12x = 10,507.68 × 2,388
  4. Step 4: Simplify right side
    7,005.12x = 25,092,339.84
  5. Step 5: Solve for x
    x = 25,092,339.84/7,005.12
  6. Step 6: Final answer
    x = 3,582

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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.