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Finding the Fourth Proportional to 9,811.90, 14,720.02 and 3,237.82

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Solution

The fourth proportional to 9,811.90, 14,720.02 and 3,237.82 is: 4,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.90 : 14,720.02 = 3,237.82 : x
  2. Step 2: Convert to fraction form
    9,811.90/14,720.02 = 3,237.82/x
  3. Step 3: Cross multiply
    9,811.90x = 14,720.02 × 3,237.82
  4. Step 4: Simplify right side
    9,811.90x = 47,660,775.16
  5. Step 5: Solve for x
    x = 47,660,775.16/9,811.90
  6. Step 6: Final answer
    x = 4,857.45

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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.