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Finding the Fourth Proportional to 10,438.36, 15,647.80 and 3,508

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Solution

The fourth proportional to 10,438.36, 15,647.80 and 3,508 is: 5,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.36 : 15,647.80 = 3,508 : x
  2. Step 2: Convert to fraction form
    10,438.36/15,647.80 = 3,508/x
  3. Step 3: Cross multiply
    10,438.36x = 15,647.80 × 3,508
  4. Step 4: Simplify right side
    10,438.36x = 54,892,482.40
  5. Step 5: Solve for x
    x = 54,892,482.40/10,438.36
  6. Step 6: Final answer
    x = 5,258.73

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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.