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Finding the Fourth Proportional to 9,950.40, 14,907.60 and 4,744.80

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Solution

The fourth proportional to 9,950.40, 14,907.60 and 4,744.80 is: 7,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.40 : 14,907.60 = 4,744.80 : x
  2. Step 2: Convert to fraction form
    9,950.40/14,907.60 = 4,744.80/x
  3. Step 3: Cross multiply
    9,950.40x = 14,907.60 × 4,744.80
  4. Step 4: Simplify right side
    9,950.40x = 70,733,580.48
  5. Step 5: Solve for x
    x = 70,733,580.48/9,950.40
  6. Step 6: Final answer
    x = 7,108.62

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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.