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Finding the Fourth Proportional to 9,810.12, 14,622.78 and 9,022.80

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Solution

The fourth proportional to 9,810.12, 14,622.78 and 9,022.80 is: 13,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.12 : 14,622.78 = 9,022.80 : x
  2. Step 2: Convert to fraction form
    9,810.12/14,622.78 = 9,022.80/x
  3. Step 3: Cross multiply
    9,810.12x = 14,622.78 × 9,022.80
  4. Step 4: Simplify right side
    9,810.12x = 131,938,419.38
  5. Step 5: Solve for x
    x = 131,938,419.38/9,810.12
  6. Step 6: Final answer
    x = 13,449.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.