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Finding the Fourth Proportional to 9,289, 12,818.82 and 5,097.25

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Solution

The fourth proportional to 9,289, 12,818.82 and 5,097.25 is: 7,034.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289 : 12,818.82 = 5,097.25 : x
  2. Step 2: Convert to fraction form
    9,289/12,818.82 = 5,097.25/x
  3. Step 3: Cross multiply
    9,289x = 12,818.82 × 5,097.25
  4. Step 4: Simplify right side
    9,289x = 65,340,730.25
  5. Step 5: Solve for x
    x = 65,340,730.25/9,289
  6. Step 6: Final answer
    x = 7,034.21

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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.