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Finding the Fourth Proportional to 9,257.59, 12,775.22 and 5,278.47

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Solution

The fourth proportional to 9,257.59, 12,775.22 and 5,278.47 is: 7,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.59 : 12,775.22 = 5,278.47 : x
  2. Step 2: Convert to fraction form
    9,257.59/12,775.22 = 5,278.47/x
  3. Step 3: Cross multiply
    9,257.59x = 12,775.22 × 5,278.47
  4. Step 4: Simplify right side
    9,257.59x = 67,433,561.01
  5. Step 5: Solve for x
    x = 67,433,561.01/9,257.59
  6. Step 6: Final answer
    x = 7,284.14

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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.