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Finding the Fourth Proportional to 9,969.54, 13,757.49 and 5,779.14

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Solution

The fourth proportional to 9,969.54, 13,757.49 and 5,779.14 is: 7,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.54 : 13,757.49 = 5,779.14 : x
  2. Step 2: Convert to fraction form
    9,969.54/13,757.49 = 5,779.14/x
  3. Step 3: Cross multiply
    9,969.54x = 13,757.49 × 5,779.14
  4. Step 4: Simplify right side
    9,969.54x = 79,506,460.76
  5. Step 5: Solve for x
    x = 79,506,460.76/9,969.54
  6. Step 6: Final answer
    x = 7,974.94

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1.5x scale

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.