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Finding the Fourth Proportional to 9,768, 13,479.84 and 5,576.36

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Solution

The fourth proportional to 9,768, 13,479.84 and 5,576.36 is: 7,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768 : 13,479.84 = 5,576.36 : x
  2. Step 2: Convert to fraction form
    9,768/13,479.84 = 5,576.36/x
  3. Step 3: Cross multiply
    9,768x = 13,479.84 × 5,576.36
  4. Step 4: Simplify right side
    9,768x = 75,168,440.58
  5. Step 5: Solve for x
    x = 75,168,440.58/9,768
  6. Step 6: Final answer
    x = 7,695.38

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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.