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Finding the Fourth Proportional to 9,774, 13,441.68 and 7,760.88

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Solution

The fourth proportional to 9,774, 13,441.68 and 7,760.88 is: 10,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 13,441.68 = 7,760.88 : x
  2. Step 2: Convert to fraction form
    9,774/13,441.68 = 7,760.88/x
  3. Step 3: Cross multiply
    9,774x = 13,441.68 × 7,760.88
  4. Step 4: Simplify right side
    9,774x = 104,319,265.48
  5. Step 5: Solve for x
    x = 104,319,265.48/9,774
  6. Step 6: Final answer
    x = 10,673.14

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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.