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Finding the Fourth Proportional to 9,812.88, 14,696.64 and 8,938.08

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Solution

The fourth proportional to 9,812.88, 14,696.64 and 8,938.08 is: 13,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.88 : 14,696.64 = 8,938.08 : x
  2. Step 2: Convert to fraction form
    9,812.88/14,696.64 = 8,938.08/x
  3. Step 3: Cross multiply
    9,812.88x = 14,696.64 × 8,938.08
  4. Step 4: Simplify right side
    9,812.88x = 131,359,744.05
  5. Step 5: Solve for x
    x = 131,359,744.05/9,812.88
  6. Step 6: Final answer
    x = 13,386.46

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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.