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Finding the Fourth Proportional to 6,429.50, 8,880 and 4,329.98

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Solution

The fourth proportional to 6,429.50, 8,880 and 4,329.98 is: 5,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.50 : 8,880 = 4,329.98 : x
  2. Step 2: Convert to fraction form
    6,429.50/8,880 = 4,329.98/x
  3. Step 3: Cross multiply
    6,429.50x = 8,880 × 4,329.98
  4. Step 4: Simplify right side
    6,429.50x = 38,450,222.40
  5. Step 5: Solve for x
    x = 38,450,222.40/6,429.50
  6. Step 6: Final answer
    x = 5,980.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.