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Finding the Fourth Proportional to 10,907.50, 16,360.89 and 3,116.30

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Solution

The fourth proportional to 10,907.50, 16,360.89 and 3,116.30 is: 4,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.50 : 16,360.89 = 3,116.30 : x
  2. Step 2: Convert to fraction form
    10,907.50/16,360.89 = 3,116.30/x
  3. Step 3: Cross multiply
    10,907.50x = 16,360.89 × 3,116.30
  4. Step 4: Simplify right side
    10,907.50x = 50,985,441.51
  5. Step 5: Solve for x
    x = 50,985,441.51/10,907.50
  6. Step 6: Final answer
    x = 4,674.35

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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.