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Finding the Fourth Proportional to 9,710.91, 14,558.46 and 3,043.98

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Solution

The fourth proportional to 9,710.91, 14,558.46 and 3,043.98 is: 4,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.91 : 14,558.46 = 3,043.98 : x
  2. Step 2: Convert to fraction form
    9,710.91/14,558.46 = 3,043.98/x
  3. Step 3: Cross multiply
    9,710.91x = 14,558.46 × 3,043.98
  4. Step 4: Simplify right side
    9,710.91x = 44,315,661.07
  5. Step 5: Solve for x
    x = 44,315,661.07/9,710.91
  6. Step 6: Final answer
    x = 4,563.49

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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.