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Finding the Fourth Proportional to 9,838, 13,576.56 and 5,646.64

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Solution

The fourth proportional to 9,838, 13,576.56 and 5,646.64 is: 7,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838 : 13,576.56 = 5,646.64 : x
  2. Step 2: Convert to fraction form
    9,838/13,576.56 = 5,646.64/x
  3. Step 3: Cross multiply
    9,838x = 13,576.56 × 5,646.64
  4. Step 4: Simplify right side
    9,838x = 76,661,946.76
  5. Step 5: Solve for x
    x = 76,661,946.76/9,838
  6. Step 6: Final answer
    x = 7,792.43

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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.